Precalculus Chapter 2 Review
Name___________________________________ Pd_____
Round answers to 3 decimal places. No calculator for back.
1. Write the linear equation when f(3) = -2 and f(8) = 7
2. Algebraically, determine the vertex and x-intercepts for f(x) = -3x2 – 18x + 22
3. Write an equation in standard form of degree 2 whose zeros include 7 – 4i.
4. Find all the zeros of f(x) = x3 – 2x2 + x + 18. The work must include synthetic division as well as
any factoring or use of the quadratic formula. Any irrational zeros must be left in radical form.
Identify all zeros as real or non-real and rational or irrational. Write the final answer in linear
factorization form.
5. Translate into a formula: The speed p of a free-falling object that has been dropped from rest varies
as the square root of the distance traveled d, with a constant of variation k = 2g
6. State the constant of variation, power and end behavior for f (x) = -3x8
7. Find the zeros, state their multiplicity, and whether the graph crosses or touches the x-axis.
f (x) = ( x - 3) ( x +1) ( x - (2 - 3i)) ( x - (2+ 3i))
4
5

Zero
Multiplicity
Does the graph
cross the x-axis at
this zero?

What is the
degree of the
polynomial?











Sketch a graph of
the polynomial.



8. Determine the x values that satisfy the following inequality using a sign chart.
(x + 8)(x -11)
£0
(x + 2)(x - 4)
9. Divide f(x) by d(x) and write a summary statement in fractional form
f(x) = 5x4 + 3x2 – 12
d(x) = x2 – 2
3x 2  3
10. Identify all the asymptotes and intercepts of the function g ( x)  2
2 x  16 x  14
Vert. Asym.:
x-intercepts:
Horiz. Asym.:
y-intercepts:
1
3
 4 . You must be specific and state
is transformed to graph y  
x
x 1
the transformations in the order in which you would do them to sketch a graph. You do not have to
sketch the graph.
11. State how the graph of y 
