Graphs and curve sketching

y =

Which of these values of x gives the greatest value of y ? Circle your answer.

Here is a sketch of the graph of y = tan x where 0° x 360°

You are given that tan 78.69 ° = 5

Work out the other value of x where tan x = 5 and 0° x 360°

Work out the two values of x where tan x = –5 and 0° x 360°

A graph passes through the points (3, 15) and (7, w)

Assume that the equation of the graph has the form y = x² + c

Work out the value of w that this would give.

w =

In fact, the graph is a straight line.

What does this mean about the actual value of w ?

Tick one box.

Here are the equations of three graphs. y = sin x y = cos x y = tan x

Which statement is true? Tick one box.

Which statement is true? Tick one box.

At what point does the graph y = x³ – 1 cross the y axis?

Make two different criticisms of her sketch.

Make two different criticisms of her sketch.

Complete the table of values for y = x² + 2x

Draw the graph of y = x² + 2x for values of x from –3 to 1

Complete the table of values for y = x² + 2x

Draw the graph of y = x² + 2x for values of x from –3 to 1

The sketch shows the line y = x line A, which is vertical line B, which is horizontal. The point (3, 5) is on both line A and line B.

Write down the coordinates of P and Q.

Here is a sketch of a graph.

Circle the possible equation of the graph.

Circle the letter of the possible sketch graph of y = x³ – 4

Circle the letter of the possible sketch graph of y = x³ – 4

Here is a sketch of a graph.

Circle the equation of the graph. k is a constant.

Complete the table of values for y = x² – 2

Draw the graph of y = x² – 2 for values of x from –3 to 3

One of these is the graph of y = 1 + sin x for 0° x 360° Circle the letter above the correct graph.

Here is the sketch of a graph.

Circle the equation of the graph.

Circle the word that describes the graph y = sin x

periodic exponential cubic quadratic

A graph has equation y = x³ + a where a is an integer. The graph passes through the point (3, 29) Draw the graph for values of x from – 3 to 3

On the axes, sketch the curve y = x³ – 2 You must show the coordinates of the y-intercept.

Here is a sketch of the curve y = 2^xbox

On the axes above, sketch the curve y = 3^x

Complete the table of values for y = x²

Draw the graph of y = x² for values of x from –2 to 2

Here is a sketch of y = cos x for values of x from 0° to 360°

α ° is an acute angle. cos α ° = k

Circle the value of cos (180° – α °)

1 – k k – k –1 – k

Circle the value of cos (360° + α °)

k – 1 k + 1 – k k

Lewis wants to draw the graph y = x³ for values of x from –2 to 2 Here is his graph.

Make one criticism of his graph.

Here is a sketch of the graph of y = cos x for values of x from 0° to 360°

cos x = cos 60° Work out the value of x when 90° x 360°

cos x = – cos 60° Work out the value of x when 180° ≤ x ≤ 360°

Here is a sketch of y = sin x° for –360 ≤ x ≤ 360

Write down the coordinates of P.

Write down the coordinates of Q.

Circle the point that does not lie on the curve y = x³

Complete the table of values for y = x² x − 2

x	2	1	0	1	2	3
y			2	2		4

Draw the graph of y = x² − x − 2 for values of x from 2 to 3

Complete the table of values for y = x² x − 2

x	2	1	0	1	2	3
y			2	2		4

Draw the graph of y = x² − x − 2 for values of x from 2 to 3

Write down the x-coordinate of the turning point of the graph.

Nick sketches the graph of y = 0.5x for x 0

Make one criticism of his sketch.