Pre-Calculus - Week 1

Quiz

Answer every question, then submit for automatic grading. 80% or above passes.

Question 1 · easy

If f(x) = 4x - 7, find f(3).

Question 2 · easy

Find the domain of f(x) = sqrt(5 - x).

Question 3 · medium

Is f(x) = x^3 - 3x even, odd, or neither?

Question 4 · medium

Find the average rate of change of f(x) = x^2 + 1 on [0, 3].

Question 5 · medium

If f(x) = x + 2 and g(x) = x^2, find f(g(2)).

Question 6 · medium

Describe the transformation: g(x) = (x + 2)^3 - 5.

Question 7 · medium

Write an equation for the square root function shifted right 4 and up 1.

Question 8 · medium

If f(x) = {2x if x < 0; x - 1 if x >= 0}, find f(-4) + f(5).

Question 9 · medium

Find the domain of h(x) = 1/(x^2 - 9).

Question 10 · challenge

If f(x) = 3x - 1 and g(x) = (x+1)/3, find f(g(x)) and simplify.