Exploring Piecewise Functions and Their Transformations

Exploring Piecewise Functions and Their Transformations

Assessment

Interactive Video

Mathematics

8th - 12th Grade

Hard

CCSS
HSF-IF.C.7B, HSF.IF.A.2, HSF.BF.B.3

Standards-aligned

Created by

Emma Peterson

FREE Resource

Standards-aligned

CCSS.HSF-IF.C.7B
,
CCSS.HSF.IF.A.2
,
CCSS.HSF.BF.B.3

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a piecewise function?

A function defined by a single equation.

A function defined by multiple equations.

A function that cannot be graphed.

A function with no domain.

Tags

CCSS.HSF-IF.C.7B

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the value of a piecewise function at a specific point?

By using the last equation in the function.

By using the first equation in the function.

By using the equation that corresponds to the given x-value.

By averaging all the equations.

Tags

CCSS.HSF.IF.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the domain of a piecewise function defined for all x greater than or equal to -3?

(-∞, -3]

(-3, ∞)

[-3, ∞)

(-∞, 3]

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When graphing a piecewise function, what should you do?

Graph only the last equation.

Graph only the first equation.

Graph each piece separately.

Graph all equations on the same graph.

Tags

CCSS.HSF-IF.C.7B

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the graph of y = f(x) when you add a positive number C to the function?

It shifts vertically up by C units.

It shifts vertically down by C units.

It shifts horizontally left by C units.

It shifts horizontally right by C units.

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of subtracting a positive number C from the function y = f(x)?

The graph shifts vertically down by C units.

The graph shifts horizontally right by C units.

The graph shifts horizontally left by C units.

The graph shifts vertically up by C units.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the effect of replacing x with x - H in the function y = f(x) when H is greater than zero?

The graph shifts horizontally right by H units.

The graph shifts vertically down by H units.

The graph shifts horizontally left by H units.

The graph shifts vertically up by H units.

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