CK-12-Pre-Calculus Concepts

http://www.ck12.org Chapter 1. Functions and Graphs

Answers:

1. They-intercept is (0, -18). The zeroes (x-intercepts) are (-3, 0) and (2, 0).


2. They-intercept is (0, 18). The roots (x-intercepts) are (2, 0), (1, 0) and (-3, 0).


3. They-intercept is approximately (0, -1). Thex-intercepts are approximately (-2.3, 0), (-0.4, 0) and (0.7, 0). When
   finding values graphically, answers are always approximate. Exact answers need to be found analytically.

Practice

1. Determine the zeroes andy-intercept of the following function using algebra:
   f(x) = (x+ 1 )^3 (x− 4 )


2. Determine the roots andy-intercept of the following function using algebra or a graph:
   g(x) =x^4 − 2 x^3 − 7 x^2 + 20 x− 12


3. Determine the intercepts of the following function graphically:

Find the intercepts for each of the following functions.
4.y=x^2
5.y=x^3
6.y=ln(x)
7.y=^1 x
8.y=ex
9.y=√x