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Worksheets

Quadratic, Absolute Value and Linear Piecewise Functions

Total questions: 17

Worksheet time: 11mins

Name
Class
Date
1.

A function has a _____________ if there is a point on the graph that has a y-value LESS THAN the y-value of every other point on the graph

a)

absolute maximum

b)

absolute minimum

2.

True or False: A quadratic or absolute value function ALWAYS has an absolute maximum or minimum.

a)

True

b)

False

3.

Select ALL the absolute value functions.

a)
b)
c)
d)
4.

Select ALL the Linear Piecewise Functions.

a)
b)
c)
d)
5.

Identify the extrema of this function

a)

Maximum: x=1

b)

Minimum: x=1

c)

Maximum: y=7

d)

Minimum: y=7

6.

Does the function below have an absolute maximum, minimum or neither?


h(x) = -3x2+5x-2

a)

absolute maximum

b)

absolute minimum

c)

neither

7.

What is the RANGE of this piecewise function?

a)

0<x≤7

b)

0<y≤7

c)

0≤x<6

d)

0<y≤6

8.

What is the DOMAIN of this Quadratic Function?

a)

x>0

b)

x≥0

c)

-∞≤x≤∞

d)

-∞<x<∞

9.

Select ALL that apply to the function below:


c(s) = 8s2 + 15

a)

quadratic function

b)

increasing

c)

decreasing

d)

continuous

e)

discrete

10.

Select ALL that apply to the given graph:

a)

increasing then decreasing

b)

absolute value function

c)

discrete

d)

continuous

e)

quadratic function

11.

Does this function have an absolute maximum, absolute minimum, or neither?


h(t) = 5|t+3|

a)

maximum

b)

minimum

c)

neither

12.

What is the RANGE of this Piecewise Function?

a)

all real numbers

b)

y≤3

c)

y>3

d)

y<3

13.

Identify the function type of this equation:


{3x, x<0

f(x) = {0, 0≤x<1

{x-1, x≥1

a)

linear

b)

linear piecewise

c)

absolute value

d)

quadratic

14.

Select the equation that meets this description: absolute value with a minimum

a)

g(x) = x2+2x-1

b)

f(t) = -|t+2|

c)

c(s)= 8x -15

d)

h(t)=6|t-1|+3

15.

Select the equation that meets the description: quadratic function with a maximum

a)

f(x) = |x+4|-3

b)

g(t) = -4t2-3t

c)

h(x) = -2|x+4|-3

d)

a(t) = 5t2+7

16.

Select the graph that matches the description: piecewise function that is constant, increases, then is constant again.

a)
b)
c)
17.

How do you feel about Quadratic, Absolute Value and Linear Piecewise functions so far?

a)

Bad :(

b)

Okay :/

c)

Good :)

d)

Great :D