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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 17 Page 125

Substitute -4 for q(x).

x=-2

Practice makes perfect

To find the value of x that will make the function equal to -4, we will substitute -4 for q(x) in the given function rule. Then, we can solve for x.

q(x)=1/2x-3

q(x)= -4

-4=1/2x-3

LHS+3=RHS+3

-1=1/2x

MoveRightFacToNum

a/c* b = a* b/c

-1=x/2

LHS * 2=RHS* 2

-2=x

Rearrange equation

x=-2

When x=-2, the function equals -4.

Checking Our Answer

Verifying Our Solution

We can verify our solution by substituting x=-2 into the function and evaluating.

q(x)=1/2x-3

x= -2

q( -2)=1/2( -2)-3

Multiply

q(-2)=-1-3

Subtract term

q(-2)=-4

When x=-2, q(x)=-4, so our solution is correct.

Subchapter links

Communicate Your Answer p.121

Monitoring Progress p.122-124

Exercises p.125-126