Brogan needs to draw the graph of
Here is her graph.
Write down one thing that is wrong with Brogan's graph.
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Brogan needs to draw the graph of
Here is her graph.
Write down one thing that is wrong with Brogan's graph.
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Complete the table of values for
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On the grid, draw the graph of from
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Complete the table of values for
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On the grid, draw the graph of for values of from
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Complete the table of values for
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On the grid, draw the graph of
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Complete the table of values for
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On the grid, draw the graph of for
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Sketch the graph of y = 3x
Give the value of the y-intercept.
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Shirley is asked to sketch a graph of y = 5x for x > 0
She produces the following.
The graph has two errors.
How should they be corrected?
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The graph of y = x3 − x2 − 2 is drawn on the grid.
Use the graph to solve x3 − x2 − 2 = 0.
Give your answer correct to 1 decimal place.
x = ...................................................
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Here is the graph of y = x2 + x − 6.
Use the graph to solve the equation x2 + x − 6 = 0.
x = ................. or x = ................
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[2]
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Complete the table of values for
0.25 | 0.5 | 1 | 2 | 4 | 8 | |
16.25 | 8.5 |
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On the grid, draw the graph of for
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Here are six graphs.
Complete the table below with the letter of the graph that could represent each given equation.
Write your answers on the dotted lines.
Equation | Graph |
.................... | |
.................... | |
.................... |
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The diagram shows part of a sketch of the curve
Write down the coordinates of
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Sketch the graph of for
Show the coordinates of any points of intersection with the coordinate axes.
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Complete the table of values for
0.5 | 1 | 2 | 3 | 4 | 5 | 6 | |
6 | 2 | 1 |
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On the grid, draw the graph of for
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Circle the point that is on the graph of
(–1, 1) | (0.3, 3) | (0.8, 0.2) | (2.5, 0.4) |
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The equation of a curve is
Circle the coordinates of the turning point.
(–1, –6) | (1, 6) | (–1, 6) | (1, –6) |
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Complete the table of values for
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On the grid, draw the graph of for values of from
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Complete the table of values for
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On the grid, draw the graph of for values of from
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Use your graph to find estimates of the solutions to the equation
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The diagram shows part of a sketch of the curve
Write down the coordinates of the point .
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Write down the coordinates of the point .
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Here are some graphs.
In the table below, match each equation with the letter of its graph.
Equation | Graph |
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Complete the table of values for
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On the grid, draw the graph of for values of from
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Find estimates for the solutions of the equation
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Complete the table of values for
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On the grid, draw the graph of for values of from
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By drawing a suitable straight line on the grid, find estimates for the solutions of
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On the grid, draw the graph of
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On the grid, sketch the graph of
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Sketch the graph of
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Sketch the graph of for
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The number of gannets on an island is assumed to follow this exponential growth model.
N = 0.45 × 1.07x
N is the number of gannets, in thousands.
x is the number of years after 1st January 2010.
Complete the table for N = 0.45 × 1.07x.
x | 0 | 5 | 10 | 15 | 20 |
N | 0.45 | 0.63 | 1.24 |
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Draw the graph of
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Use the graph to find the year when the gannet population is predicted to reach 1000.
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Part of the graph of is shown on the grid.
Use the graph to find estimates for the solutions of the equation
Give your solutions correct to one decimal place.
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By drawing a suitable straight line on the grid, find estimates for the solutions of the equation
Show your working clearly.
Give your solutions correct to one decimal place.
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Complete the table of values for
2 |
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On the grid, draw the graph of
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By drawing a suitable straight line on the grid, find estimates for the solutions of the equation
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Write in the form
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The line is the line of symmetry of the curve with equation
Using your answer to part (a) or otherwise, write down an equation of .
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Circle the point that lies on the curve
(–1, 4) | (–1, –4) | (–1, –2) | (–1, 6) |
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Here is a sketch of for values of from 0° to 360°
is an acute angle.
Circle the value of
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Circle the value of
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On the grid, construct the graph of
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Find estimates for the solutions of the simultaneous equations
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On the grid, draw the graph of
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Hence find estimates for the solutions of the simultaneous equations
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Complete the table of values for
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On the grid, draw the graph of for values of from
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Solve
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Complete the table of values for
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On the grid, draw the graph of for values of from
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Solve
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The diagram shows the graph of
Use the graph to find estimates for the solutions of
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Use the graph to find estimates for the values of that satisfy the simultaneous equations
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Construct the graph of
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By drawing the line on the grid, solve the equations
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The graph of , where is a positive constant, is shown above.
Find the value of .
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The graph of for values of from is shown above.
On the same axes, draw the graph of for values of from
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Write in the form .
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Sketch the graph of .
Show clearly the coordinates of any turning points and the value of the -intercept.
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The graph of is drawn below.
Use the graph to solve .
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The equation 2x2 + x − 4 = 0 can be solved by finding the intersection of the graph of y = 2x2 + 3x − 9 and the line y = ax + b.
Hence use the graph to solve the equation 2x2 + x − 4 = 0.
x = ............................ or x = ............................[3]
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Sketch the graph of .
Show the coordinates of any turning points.
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The sketch shows part of a graph which has equation .
Find the values of and .
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Sketch the graph of , showing clearly the coordinates of any turning points.
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The curve has equation where
Using the axes below, sketch the curve .
On your sketch show clearly, in terms of ,
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Express in the form where andare integers.
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is the curve with equation
The point is the maximum point on
Use your answer to part (a) to write down the coordinates of
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Complete the table of values for
-2 | -1 | -0.5 | 0 | 1 | 1.5 | 2 | 3 | |
4.875 | 4 | -1.625 |
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On the grid, draw the graph of for values of from –2 to 3
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By drawing a suitable straight line on the grid,
find estimates for the solutions of the equation
Give your solutions correct to 1 decimal place.
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Complete the table of values for
–2 | |||||||
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On the grid, draw the graph of
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By drawing a suitable straight line on the grid, find an estimate for the solution of the equation
............................................
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The curve has equation
The point is the maximum point on .
Write down the coordinates of .
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The curve has equation
Using the axes below, sketch the curve .
On your sketch show clearly
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is an obtuse angle.
Which statement is true?
Tick one box.
and | |
and | |
and | |
and |
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