Free Printable Piecewise Word

1.

Suppose a carpet store sells carpet for $10 per square yard for the 100 sq yards purchased, and then lowers the price to $7 per square yard after the first 100 yards have been purchased.

How much does it cost for 170 square yards?

a)

$490

b)

$1000

c)

$1,490

d)

$1,680

2.

Determine the input, x, and the output, f(x), in the following piecewise function scenario. If you earned up to $165,000 a country taxes you at a rate of 7.6%. If you earned over $165,000 and up to $600,000, you paid a fixed amount of $8,124. Write a piecewise function to represent the taxes paid in dollars between $0 and $600,000.

a)

The input, x, represents the taxes paid in dollars.

The output, f(x), represents the person's salary

b)

The input, x, represents the person's salary.

The output, f(x), represents the taxes paid in dollars.

3.

Write the first line of the piecewise statement from the bolded phrase below:

Suppose a carpet store sells carpet for $10 per square yard for the 100 sq yards purchased, and then lowers the price to $7 per square yard after the first 100 yards have been purchased.

a)

$10x\ if\ 0<x\le100$

b)

$10\ if\ 0<x\le100$

c)

$7x\ if\ 0<x<100$

d)

$100x\ if\ 0<x\le10$

4.

Write the second line of the piecewise statement from the bolded phrase below: Suppose a carpet store sells carpet for $10 per square yard for the 100 sq yards purchased, and then lowers the price to $7 per square yard after the first 100 yards have been purchased.

a)

$7\left(100\right)+10\left(x-100\right)\ if\ x>100$

b)

$10\left(100\right)+7\left(x-100\right)\ if\ x>100$

c)

$10\left(100\right)+7\left(x-100\right)\ if\ x\ge100$

d)

$10\left(7\right)+10\left(x-100\right)\ if\ x>100$

5.

Which of the piecewise functions matches this graph?

a)

A) f(x) = x^2

b)

B) f(x) = |x|

c)

C) f(x) = sin(x)

d)

D) f(x) = e^x

6.

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

a)

f(x) = { x if x < 4; -x+1 if x ≥ 4

b)

f(x) = { x if x ≤ 4; -x+1 if x > 4

c)

f(x) = { -x+1 if x < 4; x if x ≥ 4

d)

f(x) = { -x+1 if x ≤ 4; x if x > 4

7.

The graph represents a piecewise function. How many pieces make up the function?

a)

1

b)

2

c)

3

d)

4

8.

What are the domain restrictions for the green piece of this function?

a)

-2 < x ≤ 1

b)

-1 < x ≤ 0.5

c)

x > -2

d)

x ≤ 1

9.

Graph

a)

b)

c)

d)

Piecewise Word

Total questions: 9

Worksheet time: 9mins

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