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Core Connections Integrated III, 2015

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Core Connections Integrated III, 2015 View details

1. Section 1.1

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Exercise 4 Page 7

Practice makes perfect

a

We want to find the function value f(4) using the given function.

f(x)=1/x-2 That means substituting x with 4 and then simplifying the expression.

f(x)=1/x-2

x= 4

f( 4)=1/4-2

Subtract term

f(4)=1/2

b

We should find an input for the function f that makes the function value equal to 1.

1/x-2=1 Then, by solving the equation for x, that input is found.

1/x-2=1

LHS * (x-2)=RHS* (x-2)

1=1(x-2)

Identity Property of Multiplication

1=x-2

LHS+2=RHS+2

3=x

Rearrange equation

x=3

Subchapter links

1.1.1 Solving a Function Puzzle in Teams p.7-8

1.1.2 Solving a Function Puzzle in Teams p.13-15

1.1.3 Function Investigation p.21-23

1.1.4 Combining Linear Functions p.27-28