3. Functions and Relations

Function Notation — Quiz

Test your understanding of function notation with 5 practice questions.

Practice Questions

Question 1

Given the function $f(x) = ax^2 + bx + c$, if $f(0) = 5$ and $f(1) = 10$, and the axis of symmetry is at $x = -1$, what is the value of $b$?

Question 2

A function $f(x)$ is defined such that $f(x + 1) = 2f(x) - 3$. If $f(0) = 4$, what is the value of $f(2)$?

Question 3

The function $H(t) = -16t^2 + 64t + 80$ models the height in feet of a projectile $t$ seconds after it is launched. What is the maximum height reached by the projectile?

Question 4

If $f(x) = \frac{x + 3}{x - 2}$ and $g(x) = x^2 + 1$, what is the value of $(f \circ g)(2)$?

Question 5

The function $C(x) = 0.05x + 200$ represents the cost in dollars of producing $x$ units of a product. If the company wants to keep the production cost under $500$, what is the maximum number of units they can produce?