# Worksheet: Intercepts and Symmetry of Graphs of Functions

In this worksheet, we will practice interpreting the intercepts of a graph and determining the symmetry of functions.

Q1:

In the graph below, find the axis of symmetry.

• AThe -axis
• BThe origin
• CThe -axis

Q2:

In the graph below, find the axis of symmetry.

• Athe -axis
• Bthe -axis
• Cthe origin

Q3:

In the graph below, find the axis of symmetry.

• AThe -axis
• BThe origin
• CThe -axis

Q4:

Given that About which point is the function symmetric?

• A
• B
• C
• D

Q5:

Find the point of symmetry of the function .

• A
• B
• C
• D

Q6:

If the function , determine the point of symmetry of the function .

• A
• B
• C
• D

Q7:

What are the -intercepts of the function represented by the given graph?

• A and
• B and
• C and
• D and
• E and

Q8:

In the graph shown, find the axis of symmetry.

• A
• B
• C
• D
• E

Q9:

What are the -intercepts of the function represented by the given graph?

• A and
• B and
• C and
• D and
• E and

Q10:

In the graph shown, find the axis of symmetry.

• A
• B
• C
• D
• E

Q11:

Determine the intercepts of the function represented by the given graph.

• A-intercept: , -intercept:
• B-intercept: , -intercept:
• C-intercept: , -intercept:
• D-intercept: , -intercept:
• E-intercept: , -intercept:

Q12:

What is the -intercept of the function represented by the given graph?

• A
• B
• C
• D
• E

Q13:

What is the -intercept of the function represented by the given graph?

• A
• B
• C
• D
• E

Q14:

Find the horizontal intercepts of the function .

• A
• B
• C
• DNo horizontal intercepts

Q15:

The diagram shows the graph of . What is the solution set of the equation ?

• A
• B
• C
• D
• E

Q16:

A function has -intercepts at and 9. Where are the intercepts of ?

• Aat and 4
• Bat 1 and 14
• Cat 20 and
• Dat and 9

Q17:

The diagram shows the graph of . What is the solution set of the equation ?

• A
• B
• C
• D
• E

Q18:

At which values of does the graph of the equation cross the -axis?

• A and
• B0 and
• C0 and
• D0 and
• E0 and 10

Q19:

At which values of does the graph of the equation cross the -axis?

• A4 and 12
• B4 and
• C and
• D2 and
• E and 6

Q20:

Factor the equation .

• A
• B
• C
• D
• E

At which values of does the graph of cross the -axis?

• A4.5
• B3 and
• C4.5 and
• D3
• E9 and

Q21:

At which values of does the graph of the equation cross the -axis?

• A and 1
• B and 1
• C and
• D2 and
• E and

Q22:

Factor fully the equation .

• A
• B
• C
• D
• E

At which values of does the graph of cross the -axis?

• A5 and
• B9 and
• C9 and
• D1 and
• E3 and

Q23:

At which values of does the graph of the equation cross the -axis?

• A and 8
• B and
• C and 24
• D3 and
• E5 and

Q24:

At which values of does the graph of the equation cross the -axis?

• A5 and
• B and 7
• C and 6
• D7 and
• E1 and

Q25:

At which values of does the graph of cross the -axis?

• A2.5 and
• B and
• C5 and
• D4 and
• E