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Core Connections Algebra 1, 2013

CC

Core Connections Algebra 1, 2013 View details

2. Section 1.2

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Exercise 68 Page 30

Practice makes perfect

a To find f(- 4), we have to substitute x with - 4 and evaluate.

f(x)=|x-3|

x= - 4

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

Subtract term

f(- 4)=|- 7|

|-7|=7

f(- 4)=7

b Again, we substitute x=- 4 in the function and simplify.

f(x)=- 5|x|

x= - 4

f( - 4)=- 5| - 4|

|-4|=4

f(- 4)=- 5* 4

Multiply

f(- 4)=- 20

c Once more, we substitute x with - 4 in the equation and simplify.

f(x)=|x+1|

x= - 4

f( - 4)=| - 4+1|

Add terms

f(- 4)=|- 3|

|-3|=3

f(- 4)=3

d For the final time, substitute x=- 4 in the function and simplify the right-hand side.

f(x)=|x+3|-6

x= - 4

f( - 4)=| - 4+3|-6

Add terms

f(- 4)=|- 1|-6

|-1|=1

f(- 4)=1-6

Subtract term

f(- 4)=- 5

Subchapter links

1.2.1 Describing a Graph p.19-21

1.2.2 Cube Root and Absolute Value Functions p.23-24

1.2.3 Function Machines p.27

1.2.4 Functions p.30-31

1.2.5 Domain and Range p.36