HSF.IF.A.2 Tutor Intake — Evaluate and Interpret Function Notation

A city pool opens each morning. Let $S(t)$ represent the number of swimmers
in the pool $t$ hours after opening.

Which statement correctly interprets $S(4) = 72$?

The cost in dollars to produce $n$ items is $C(n)$.

Complete the function notation statement for "the cost to produce 50 items
is $340":

$C($   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   $) =$   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲  

Let $f(x) = x^2$.

Compute $f(2) + f(3)$ and $f(2 + 3)$. Which statement is true?

Let $g(x) = x^2 - 1$. Suppose $g(a) = g(-a)$ for some value $a$.

What does this tell you?

Let $f(x) = x^2 - 3x + 2$.

What is $f(-1)$?

Let $f(x) = 3x - 5$.

What is $f(4)$?

Let $f(x) = 2x + 1$.

Which expression equals $f(a + 3)$?

Let $f(x) = 4x - 8$.

Solve $f(x) = 12$. What is $x$?

Let $g(x) = x^2 - 1$.

A student is asked to solve $g(x) = 3$ and writes: "Since $g(x) = 3$,
I compute $g(3) = 9 - 1 = 8$, so the answer is 8."

What error did the student make?