Question

evaluate the function f(x) = -8x + 6 at the indicated values.
a) find f(0).
b) find f(-5).
a) f(0) = \boxed{} (simplify your answer.)
b) f(-5) = \boxed{} (simplify your answer.)

Explanation:

Step1: Evaluate \( f(0) \)

To find \( f(0) \), substitute \( x = 0 \) into the function \( f(x)=-8x + 6 \).

$$ f(0)=-8(0)+6 $$

Simplify the expression: \( -8(0)=0 \), so \( f(0)=0 + 6=6 \).

Step2: Evaluate \( f(-5) \)

To find \( f(-5) \), substitute \( x=-5 \) into the function \( f(x)=-8x + 6 \).

$$ f(-5)=-8(-5)+6 $$

Simplify the expression: \( -8(-5)=40 \), so \( f(-5)=40 + 6 = 46 \).

Answer:

a) \( f(0)=\boldsymbol{6} \)
b) \( f(-5)=\boldsymbol{46} \)