Which piecewise function corresponds to this graph? (Take your time)

f(x) = { -x+1 if x < 4; x if x ≥ 4

f(x) = { x if x < 4; -x+1 if x ≥ 4

f(x) = { x if x ≤ 4; -x+1 if x > 4

f(x) = { -x+1 if x ≤ 4; x if x > 4

What is the vertex of the absolute value function?

( − ∞ , ∞ ) \left(-\infty,\ \infty\right) ( − ∞ , ∞ )

[ 4 , ∞ ) \left[4,\infty\right) [ 4 , ∞ )

Which of the following best describes a step function?

A step function is a piecewise function that is constant over each interval of the domain.

A step function has many steps which are required for solving the function.

A step function is not actually a function because it does not pass the vertical line test at all points.

A step function has many horizontal and vertical lines which contribute to the function as a whole.

Piecewise and Step Functions

Quiz

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Medium

•

CCSS

HSF.IF.A.2, HSF-IF.C.7B, 8.F.A.1

+15

Standards-aligned

Cynthia Blanchard

Used 84+ times

FREE Resource

36 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the RANGE of the function?

(-∞, +∞)

(-∞, 4]

(-∞, 4)

[0, 4]

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the DOMAIN of the function?

(-∞, +∞)

(-∞, 4]

(-∞, 4)

[0, 4]

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Using the pictured graph, what is f(-3)?

-3

-1

1

3

Tags

CCSS.HSF.IF.A.2

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is g(7) if:

-17

-13

13

17

Tags

CCSS.HSF.IF.A.2

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is f(-2)?

4

1

-1

7

Tags

CCSS.HSF.IF.A.2

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the DOMAIN of the function?

(-∞, +∞)

(-∞, -3) U (-3, +∞)

(-∞, 2] U [3, +∞)

(-∞, 3] U [3, +∞)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the RANGE of the function?

(-∞, +∞)

(-∞, -3) U (-3, +∞)

(-∞, 2] U [4, +∞)

(-∞, 3] U [3, +∞)

Tags

CCSS.HSF-IF.C.7B

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Piecewise and Step Functions

36 questions

What is the RANGE of the function?

What is the DOMAIN of the function?

Using the pictured graph, what is f(-3)?

What is g(7) if:

What is f(-2)?

What is the DOMAIN of the function?

What is the RANGE of the function?

Give the parent function or function family.

What is f(x) when x equals 0?

What is f(x) when x equals 4?

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