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Understanding Piecewise Functions

Understanding Piecewise Functions

Assessment

Interactive Video

•

Mathematics

•

8th - 10th Grade

•

Practice Problem

•

Medium

•
CCSS
HSF-IF.C.7B, 8.EE.B.5, 8.EE.B.6

+1

Standards-aligned

Created by

Jackson Turner

Used 1+ times

FREE Resource

Standards-aligned

CCSS.HSF-IF.C.7B
,
CCSS.8.EE.B.5
,
CCSS.8.EE.B.6
CCSS.8.F.A.3
,
The video tutorial explains how to graph a piecewise defined function. It first covers graphing f(x) = 4 for x less than -1, which is a horizontal line with an open point at (-1, 4). Next, it explains graphing f(x) = -x + 2 for x greater than or equal to -1, a line with a slope of -1 and a closed point at (-1, 3). The tutorial emphasizes the importance of correctly placing open and closed points based on the function's domain.

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6 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of line is represented by the function f(x) = 4 for x < -1?

A horizontal line

A vertical line

A curved line

A diagonal line

Tags

CCSS.HSF-IF.C.7B

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Where should the open point be placed when graphing f(x) = 4 for x < -1?

At (-1, 0)

At (0, 4)

At (-1, 4)

At (4, -1)

Tags

CCSS.8.EE.B.5

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the slope of the line for the function f(x) = -x + 2?

0

2

-1

1

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the y-intercept of the function f(x) = -x + 2?

2

-1

0

1

Tags

CCSS.HSF-IF.C.7B

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How should the point at x = -1 be marked when graphing f(x) = -x + 2?

With a dashed line

With an open point

With a closed point

With a circle

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the direction of the line for f(x) = -x + 2 when graphed?

Downwards to the left

Upwards to the right

Downwards to the right

Upwards to the left

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