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 the independent variable

In a function $f(x)$, the independent variable is $x$.

Step2: Identify the dependent variable

The dependent variable is $f(x)$ (also often denoted as $y$), as its value depends on $x$.

Step3: Understand function - notation meaning

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 $f(2)=10-2^{3}=10 - 8$.
$f(2)=2$

Answer:

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