Are you prepared for Subtest I: Algebra?
Then, have a stab at the following!
Assess yourself: You should do OK on the Test if you could solve 3-4 of the 5 Qs below, taking about 20 minutes/Q!
5. a) Finds the equation of the parabola passing through (0,5), (2,5) and (-2,21).
b) Find the equation of the line with x-intercept 5/8 making a triangular area of 25/16 in the 4th Quadrant.
c) At what point(s) does the line intersect the parabola?
4. If 1, 1/2 and -3 are x-intercepts of a polynomial function f(x) = ax³ + bx² + cx + 3, find f(x) and graph it.
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3. If f(x) = x² - 7x + k, find ALL value(s) of k such that f(x) has
a) No x-intercepts
b) Exactly 1 x-intercept
c) 2 x-intercepts
Interpret your answer graphically.
2. On the same graph, plot the following functions:
a) f(x) = x² - 2x - 8
b) g(x) = r(f(x))
c) h(x) = 1/f(x)
Note: r ~ Square Root
1. Graph the rational function: f(x) = (x² - 6x + 8)/(x² - 3x) stating its
a) Domain
b) x- and y-intercepts
c) Vertical and Horizontal Asysmptotes
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