Is f(x) = x 2 + 4x + 8 an even, odd, or neither type of function? Include a reason as part of your answer.

f(x) is neither because f(-x) doesn't equal -f(x) or f(x).

f(x) is even because f(-x) = f(x).

f(x) is even because f(-x) = -f(x).

f(x) is odd because f(-x) = f(x).

f(x) is odd because f(-x) = -f(x)

Is f(x) = x 3 - 4x an even, odd, or neither type of function? Include a reason as part of your answer.

f(x) is odd because f(-x) = -f(x)

f(x) is even because f(-x) = f(x).

f(x) is even because f(-x) = -f(x).

f(x) is odd because f(-x) = f(x).

f(x) is neither because f(-x) doesn't equal -f(x) or f(x).

Is f(x) = x 4 + 6x 2 + 5 an even, odd, or neither type of function? Include a reason as part of your answer.

f(x) is even because f(-x) = f(x).

f(x) is even because f(-x) = -f(x).

f(x) is odd because f(-x) = f(x).

f(x) is odd because f(-x) = -f(x)

f(x) is neither because f(-x) doesn't equal -f(x) or f(x).

Is f(x) = x 4 + 6x an even, odd, or neither type of function? Include a reason as part of your answer.

f(x) is neither because f(-x) doesn't equal -f(x) or f(x).

f(x) is even because f(-x) = f(x).

f(x) is even because f(-x) = -f(x).

f(x) is odd because f(-x) = f(x).

f(x) is odd because f(-x) = -f(x)

Is f(x) = 5x 2 + |x| an even, odd, or neither type of function? Include a reason as part of your answer.

f(x) is even because f(-x) = f(x).

f(x) is even because f(-x) = -f(x).

f(x) is odd because f(-x) = f(x).

f(x) is odd because f(-x) = -f(x)

f(x) is neither because f(-x) doesn't equal -f(x) or f(x).

Describe how the graph of $$g\left(x\right)=\left|x-9\right|+8$$ compares with the parent graph f(x) = |x|.

The graph is shifted right 9 and up 8.

The graph is shifted left 9 and up 8.

The graph is shifted down 9 and right 8.

The graph is shifted up 9 and left 8.

Describe how the graph of $$g\left(x\right)=\left|x+8\right|+9$$ compares with the parent graph f(x) = |x|.

The graph is shifted up 9 and left 8.

The graph is shifted right 9 and up 8.

The graph is shifted left 9 and up 8.

The graph is shifted down 9 and right 8.

Describe how the graph of $$g\left(x\right)=\left|x-8\right|-9$$ compares with the parent graph f(x) = |x|.

The graph is shifted down 9 and right 8.

The graph is shifted right 9 and up 8.

The graph is shifted left 9 and up 8.

The graph is shifted up 9 and left 8.

Describe how the graph of $$g\left(x\right)=\left|x+9\right|+8$$ compares with the parent graph f(x) = |x|.

The graph is shifted left 9 and up 8.

The graph is shifted right 9 and up 8.

The graph is shifted down 9 and right 8.

The graph is shifted up 9 and left 8.

Describe how the graph of $$g\left(x\right)=\frac{1}{4}\left(x-1\right)^3$$ compares with the parent graph f(x) = $$x^3$$ .

The graph has a vertical shrink and is shifted right 1.

The graph has a vertical shrink and is shifted left 1.

The graph has a vertical stretch and is shifted right 1.

The graph has a vertical stretch and is shifted left 1.

Describe how the graph of $$g\left(x\right)=\frac{1}{4}\left(x+1\right)^3$$ compares with the parent graph f(x) = $$x^3$$ .

The graph has a vertical shrink and is shifted left 1.

The graph has a vertical shrink and is shifted right 1.

The graph has a vertical stretch and is shifted right 1.

The graph has a vertical stretch and is shifted left 1.

Describe how the graph of $$g\left(x\right)=4\left(x+1\right)^3$$ compares with the parent graph f(x) = $$x^3$$ .

The graph has a vertical stretch and is shifted left 1.

The graph has a vertical shrink and is shifted right 1.

The graph has a vertical shrink and is shifted left 1.

The graph has a vertical stretch and is shifted right 1.

Describe how the graph of $$g\left(x\right)=4\left(x-1\right)^3$$ compares with the parent graph f(x) = $$x^3$$ .

The graph has a vertical stretch and is shifted right 1.

The graph has a vertical shrink and is shifted right 1.

The graph has a vertical shrink and is shifted left 1.

The graph has a vertical stretch and is shifted left 1.

Quiz on Basic Parent Functions

Quiz

•

Mathematics

•

12th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF.BF.B.3, HSF.IF.C.7, HSF.IF.A.1

+4

Standards-aligned

Paul Smith

Used 6+ times

FREE Resource

30 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 3 pts

Which of the following is not true of the parent function f (x) = x²?

The function has even symmetry.

The function has an intercept at (0, 0).

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

2.

MULTIPLE CHOICE QUESTION

3 mins • 3 pts

Which of the following is not true of the parent function f (x) = x³?

The function has even symmetry.

The function has an intercept at (0, 0).

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

3.

MULTIPLE CHOICE QUESTION

3 mins • 3 pts

The function has neither even nor odd symmetry.

The function has an intercept at (0, 0).

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

4.

MULTIPLE CHOICE QUESTION

3 mins • 3 pts

The function has odd symmetry.

The function has no intercepts.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

5.

MULTIPLE CHOICE QUESTION

3 mins • 3 pts

Which of the following is not true of the parent function f (x) = |x|?

The function has even symmetry.

The function has no intercepts.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

6.

MULTIPLE CHOICE QUESTION

3 mins • 3 pts

Is the following function even, odd, or neither (and why)?

Odd because the function is symmetric with respect to the x-axis

Odd because the function is symmetric with respect to the y-axis

Even because the function is symmetric with respect to the origin

Even because the function is symmetric with respect to the y-axis

Neither because the function has no symmetry.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

7.

MULTIPLE CHOICE QUESTION

3 mins • 3 pts

Is the following function even, odd, or neither (and why)?

Odd because the function is symmetric with respect to the origin

Odd because the function is symmetric with respect to the y-axis

Even because the function is symmetric with respect to the origin

Even because the function is symmetric with respect to the y-axis

Neither because the function has no symmetry.

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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Quiz on Basic Parent Functions

30 questions

Which of the following is not true of the parent function f (x) = x2 ?

Which of the following is not true of the parent function f (x) = x3 ?

Which of the following is not true of the parent function f (x) = |x|?

Is the following function even, odd, or neither (and why)?

Is the following function even, odd, or neither (and why)?

Is the following function even, odd, or neither (and why)?

Is the following function even, odd, or neither (and why)?

Is the following function even, odd, or neither (and why)?

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Which of the following is not true of the parent function f (x) = x²?

Which of the following is not true of the parent function f (x) = x³?