Question

think about the function f(x) = 10 - x^3. what is the input, or independent variable? f(x) x y done what is the output, or dependent variable or quantity? x f(x) y done what does the notation f(2) mean? multiply f by 2 the output (y - value) when x = 2 the value of x when the output is 2 done evaluate f(2) =

Explanation:

Step1: Identify independent variable

In a function $f(x)=10 - x^{3}$, the input or independent variable is $x$.

Step2: Identify dependent variable

The output or dependent variable is $f(x)$ (which is also equivalent to $y$ in a $y = f(x)$ relationship).

Step3: Interpret $f(2)$

The notation $f(2)$ means the output ($y$-value) when $x = 2$.

Step4: Evaluate $f(2)$

Substitute $x = 2$ into $f(x)=10 - x^{3}$. So $f(2)=10-2^{3}=10 - 8=2$.

Answer:

What is the input, or independent variable?
x
What is the output, or dependent variable or quantity?
f(x)
What does the notation f(2) mean?
the output (y - value) when x = 2
Evaluate f(2)=
2