Pre-Calculus - Week 3

Quiz

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

Question 1 · easy

Find the domain of f(x) = (x+3)/((x-1)(x+4)).

Question 2 · medium

Does f(x) = (x^2-9)/(x-3) have a hole or a VA at x=3?

Question 3 · easy

Find the HA of f(x) = (3x+1)/(5x-2).

Question 4 · challenge

Find all vertical asymptotes of f(x) = x/(x^2-4x).

Question 5 · medium

Find the slant asymptote of f(x) = (x^2-1)/(x+2).

Question 6 · easy

Solve: 2/x + 1 = 5/x.

Question 7 · medium

Find the x-intercepts of f(x) = (x^2-5x+6)/(x-4).

Question 8 · medium

On which interval is f(x) = (x-2)/(x+1) negative?

Question 9 · easy

What is the y-intercept of f(x) = (x^2-4)/(x+3)?

Question 10 · challenge

Solve: x/(x-4) = 4/(x-4) + 1. Identify any extraneous solutions.