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Run Multiple Choice Generator at h:\shares\physics
Run Core Problems by giving the program 174 as your 'course'--enter this when asked for your 3-digit course number.
Do the 'quizzes' on Exponential Functions: Numbers and Exponential Functions: Graphs.
If you miss a problem be sure to click on Comment and explain what you do and do not understand about the question and the given solution

Give the formula for a polynomial function which passes through the points (-3, 0), (2, 0) and (5, 0), having a y-intercept of 4.

We can get the points on the x axis from (x+3)(x-2)(x-5).

The y-intercept of (x+3)(x-2)(x-5) is 30 and we want a y-intercept of 4. So we vertically stretch by factor 4/30 to get

What are the possible shapes of the graph of a degree-4 polynomial?

(x-2)(x-1)(x+1)(x+3)

(x-2)^2(x-1)(x+3)

(x-1)^3(x+3)

(x-1)^4

(x-1)^2(x+3)^2

(x-2)(x+3)(x^2+x+2)

(x-1)^2(x^2+x+2)

Sketch graphs of f(x) = (x - 3) and g(x) = (x+ 2).

Identify the points on the x axis at which either f(x) = 0 or g(x) = 0.
Identify the points on the x axis at which either | f(x) | = 1 or | g(x) | = 1.
Identify the interval(s) of the x axis over which | f(x) | < 0.
Identify the interval(s) of the x axis over which | g(x) | < 0.
Identify the interval(s) of the x axis over which | f(x) | < 1.
Identify the interval(s) of the x axis over which | g(x) | < 1.
Identify the point(s) of the x axis for which f(x) = - g(x).

For the functions f(x) and g(x) of the preceding problem

For the functions f(x) and g(x) of the preceding problem