Pre-Calculus - Week 2

Quiz

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

Question 1 · easy

Find the vertex of f(x) = -(x + 3)^2 + 5.

Question 2 · easy

Solve x^2 - 4x - 12 = 0 by factoring.

Question 3 · easy

How many real solutions does 2x^2 - 3x + 5 = 0 have?

Question 4 · easy

Describe the end behavior of f(x) = -x^4 + 3x.

Question 5 · medium

List the zeros and multiplicities: f(x) = x^2(x - 5)(x + 1)^3.

Question 6 · easy

Is x = -2 a zero of f(x) = x^3 + 8?

Question 7 · medium

Use the quadratic formula to solve x^2 - 6x + 4 = 0.

Question 8 · medium

Find all zeros of f(x) = x^3 - x^2 - 6x. Factor completely.

Question 9 · medium

At what x-values does f(x) = (x-1)^2(x+3) touch the x-axis without crossing?

Question 10 · medium

Find the maximum value of f(x) = -2x^2 + 8x - 3.