Question

6. F(x) is the function that determines the absolute value of the cube of the input. Part 1. Evaluate: F(5) Part 2. Evaluate: F(-7) Part 3. Determine: F(5). F(-7) Or is the function defined by the following graph. The graph window is:

Answer 1

We have that F(x) is the function that determines the absolute value of the cube of the input, then we have that f(x) is:

$f(x)=\lvert x^3\rvert$

Part 1. Evaluate F(5): x = 5

$f(5)=\lvert5^3\rvert=\lvert125\rvert=125$

Part 2. Evaluate F(-7): x = -7

$f(-7)=\lvert-7^3\rvert=\lvert-343\rvert=343$

Part 3. Evaluate F(5)xF(-7)

$f(5)\cdot f(-7)=125\cdot343=42875$