Question

in exercises 3 - 10, evaluate the function when x = -2, 0, and 5. (see example 1.) 3. f(x)=x + 6 4. g(x)=3x 5. h(x)=-2x + 9 6. r(x)=-x - 7 7. p(x)=-3 + 4x 8. b(x)=18 - 0.5x 9. v(x)=12 - 2x - 5 10. n(x)=-1 - x + 4 11. interpreting function notation let c(t) be the number of customers in a restaurant t hours after 8 a.m. explain the meaning of each statement. (see example 2.)

Explanation:

3. $f(x)=x + 6$

Step1: Substitute $x=-2$

$f(-2)=-2 + 6=4$

Step2: Substitute $x = 0$

$f(0)=0+6=6$

Step3: Substitute $x = 5$

$f(5)=5 + 6=11$

Step1: Substitute $x=-2$

$g(-2)=3\times(-2)=-6$

Step2: Substitute $x = 0$

$g(0)=3\times0=0$

Step3: Substitute $x = 5$

$g(5)=3\times5 = 15$

Step1: Substitute $x=-2$

$h(-2)=-2\times(-2)+9=4 + 9=13$

Step2: Substitute $x = 0$

$h(0)=-2\times0+9=9$

Step3: Substitute $x = 5$

$h(5)=-2\times5+9=-10 + 9=-1$

Answer:

When $x=-2$, $f(-2)=4$; when $x = 0$, $f(0)=6$; when $x = 5$, $f(5)=11$

4. $g(x)=3x$