Evaluating and Interpreting Function Notation

a

Using the function

g (x),

we want to evaluate for the given value,

g (3) .

To do this, we need to substitute

3

for

x .

g (x) = x^{2} + 3

x = 3

g (3) = 3^{2} + 3

CalcPowCalculate power

g (3) = 9 + 3

AddTermsAdd terms

g (3) = 12

We have evaluated the function for

x = 3

and found that

g (3) = 12 .

b

Here we want to find

g (- 5)

We do that by substituting

- 5

for

x

in the function rule

g (x) = x^{2} + 3 .

g (x) = x^{2} + 3

x = - 5

g (- 5) = (- 5)^{2} + 3

CalcPowCalculate power

g (- 5) = 25 + 3

AddTermsAdd terms

g (- 5) = 28

Thus, we have found that

g (- 5) = 28 .

Evaluating and Interpreting Function Notation 1.8 - Solution