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:

Step1: Evaluate $f(x)$ at $x = - 2$

Substitute $x=-2$ into $f(x)=x + 6$. So $f(-2)=-2 + 6=4$.

Step2: Evaluate $f(x)$ at $x = 0$

Substitute $x = 0$ into $f(x)=x + 6$. So $f(0)=0+6 = 6$.

Step3: Evaluate $f(x)$ at $x = 5$

Substitute $x = 5$ into $f(x)=x + 6$. So $f(5)=5+6=11$.

Answer:

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