Homework - MATH IN DEMAND

Unit 3

Functions

Homework

FUNCTION NOTATION AND EVALUATING A

FUNCTION

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Score __ / __

Circle One Due: M T W Th F

Name: ______________________

Functions

(Function Notation and Evaluating a Function)

Date: __________ Per: ____

Directions: Answer problems #1-5. Show all of your work!

1 In your own words, what is function notation?

Evaluate the following

2

given f(x) = 42x - 101

a.) f(0) = ____

5

Evaluate the following given m(x) = - 1x + 32

2

a.) m(6) = ____

b.) f(-2) = ____

Evaluate the following given h(x) = 4x2 - 150

a.) h(-4) = ____

b.) m(-2) = ____

Evaluate the following given g(x) = -5x + 12

a.) g(-8) = ____

b.) h(9) = ____

3

b.) g(1) = ____

5

4

? 2018 Math in Demand

Functions

(Function Notation and Evaluating a Function)

Directions: Answer problems #6-8. Show all of your work!

6 Find the mistake! Circle the mistake below and explain why it is wrong:

Evaluate p(5) given that p(x) = -x2 - 8

Explanation:

p(5) = -(5)2 - 8 p(5) = 25 - 8

p(5) = 17

7 Be Creative!

Create your own word problem and solve below:

8 Reflection: From this homework assignment, I ...

? 2018 Math in Demand

Score __ / __

ANSWER KEY

Circle One Due: M T W Th F

Functions

(Function Notation and Evaluating a Function)

Directions: Answer problems #1-5. Show all of your work!

1 In your own words, what is function notation?

Evaluate the following

2

given f(x) = 42x - 101

Function notation is a method of writing algebraic variables as functions of other variables.

a.) f(0) = _-1_0_1_ f(0) = 42(0) - 101

f(0) = 0 - 101

5

f(0) = -101

b.) f(-2) = _-1_8_5_

Evaluate the following

given m(x) = - 1x + 32

2

a.) m(6) = _2__9_

m(6) = - 1(6) + 32

2

m(6) = -3 + 32

m(6) = 29

f(-2) = 42(-2) - 101 f(-2) = -84 - 101 f(-2) = -185

Evaluate the following given h(x) = 4x2 - 150

a.) h(-4) = _-_8_6_

b.)

m(-2)

=

__3_3_

m(-2)

=

-

1(-2)

2

+

32

Evaluate the following given

m(-2) = 1 + 32 g(x) = -5x + 12

m(-2) = 33

a.) g(-8) = _5_2__

h(-4) = 4(-4)2 - 150 h(-4) = 64 - 150 h(-4) = -86

g(-8) = -5(-8) + 12 g(-8) = 40 + 12 g(-8) = 52

b.) h(9) = _1_7_4_

h(9) = 4(9)2 - 150

h(9) = 324 - 150

3

h(9) = 174

b.) g(1) = __1_1 _

5

g(1) = -5(1) + 12

5

5

g(1) = -1 + 12

5

g(1) = 11

4

5

? 2018 Math in Demand

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