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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

3. Function Notation

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Exercise 5 Page 123

Substitute -1 for g(x).

8

Practice makes perfect

To find the value of x that will make the function equal to -1, we will substitute -1 for g(x) in the given function rule. Then, we can solve for x.

g(x)=-1/2x+3

g(x)= -1

-1=-1/2x+3

▼

Solve for x

LHS-3=RHS-3

-1- 3=-1/2x+3- 3

Subtract terms

-4=-1/2x

MoveRightFacToNumOne

1/b* a = a/b

-4=-x/2

LHS * 2=RHS* 2

-4 * 2=-x/2 * 2

Multiply

-8=-x/2 * 2

FracMultDenomToNumber

a/2* 2 = a

-8=- x

LHS * (-1)=RHS* (-1)

8=x

Rearrange equation

x=8

When x=8, the function equals -1.

Checking Our Answer

Verifying Our Solution

We can verify our solution by substituting x=8 into the function and evaluating.

g(x)=-1/2x+3

x= 8

g( 8)=-1/2( 8)+3

MoveRightFacToNumOne

1/b* a = a/b

g(8)=-8/2+3

Calculate quotient

g(8)=-4+3

Add terms

g(8)=-1

When x=8, g(x)=-1, so our solution is correct.

Subchapter links

Communicate Your Answer p.121

Monitoring Progress p.122-124

Exercises p.125-126