Questions: Part 1 of 3 (a) Find f(x) for the indicated values of x, if possible. (b) Find the domain of f. f(x)=x^3 for x=-1,2 (a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. f(-1)= □ (Simplify your answer.) B. The value of f(-1) is undefined.

Part 1 of 3
(a) Find f(x) for the indicated values of x, if possible.
(b) Find the domain of f.
f(x)=x^3 for x=-1,2
(a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. f(-1)= □
(Simplify your answer.)
B. The value of f(-1) is undefined.

Transcript text: Part 1 of 3 (a) Find $f(x)$ for the indicated values of $x$, if possible. (b) Find the domain of $f$. \[ f(x)=x^{3} \text { for } x=-1,2 \] (a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $f(-1)=$ $\square$ (Simplify your answer.) B. The value of $f(-1)$ is undefined.

Solution

Solution Steps

Solution Approach

For part (a), evaluate the function $ f(x) = x^3 $ at the given values of $ x $. Specifically, calculate $ f(-1) $ and $ f(2) $.
For part (b), determine the domain of the function $ f(x) = x^3 $. Since this is a polynomial function, its domain is all real numbers.

Step 1: Evaluate $ f(x) $ at $ x = -1 $

To find $ f(-1) $ for the function $ f(x) = x^3 $: \[ f(-1) = (-1)^3 = -1 \]

Step 2: Evaluate $ f(x) $ at $ x = 2 $

To find $ f(2) $ for the function $ f(x) = x^3 $: \[ f(2) = 2^3 = 8 \]

Step 3: Determine the Domain of $ f(x) $

The function $ f(x) = x^3 $ is a polynomial function. The domain of any polynomial function is all real numbers.