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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 13 Page 125

Substitute 63 for h(x).

-9

Practice makes perfect

To find the value of x that will make the function equal to 63, we will substitute 63 for h(x) in the given function rule. Then, we can solve for x.

h(x)=-7x

h(x)= 63

63=-7x

▼

Solve for x

.LHS /-7.=.RHS /-7.

63/7=-7x/7

Calculate quotient

9=-7x/7

MoveNegNumToFrac

Put minus sign in front of fraction

9=-7x/7

MovePartNumRight

a* b/c=a/c* b

9=-7/7* x

a/a=1

9=-1 * x

Multiplication Property of -1

9=- x

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

-9=x

Rearrange equation

x=-9

When x=-9, the function equals 63.

Checking Our Answer

Verifying Our Solution

We can verify our solution by substituting x=-9 into the function and evaluating.

h(x)=-7x

x= -9

h( -9)=-7( -9)

MultNegNegOnePar

- a(- b)=a* b

h(-9)=7*9

Multiply

h(-9)=63

When x=-9, h(x)=63, so our solution is correct.

Subchapter links

Communicate Your Answer p.121

Monitoring Progress p.122-124

Exercises p.125-126