Download Chapter 2 Quiz Review

October 11, 2011
Chapter 2 Quiz Review
a) Linear functions; average rate of change,
b) Quadratic functions;
i) standard form; find vertex & line symmetry,
ii) vertex form; find vertex & line of symmetry,
iii) find equation of a parabola given point &
vertex.
c) Power and Monomial functions
d) Polynomial functions
i) know the vocabulary,
ii) end behavior,
iii) number of possible roots,
iv) number of possible extrema
v) multiplicity of roots
e) Finding zeros of polynomial functions
i) Remainder Theorem
ii) Factor Theorem
iii) Rational Zeros Theorem
iv) Finding all zeros over the set of complex
numbers
v) Finding a polynomial with given
zeros and leading coefficient.
October 11, 2011
a) The leading coefficient of f is
b) The domain for f is
c) The degree of f is
d) The constant term of f is
e) f has at most _______________ x-intercepts.
f) The y-intercept of f is
g) If (x - c) is a factor of f, then f(c) is
h)
October 11, 2011
Find the equation of a line if f(-3) = 0 and
f(4) = 6.
Given f(x) = 3x3 + 4x − 6, find the average
rate of change over the interval [2, 5].
Find the vertex and line of symmetry of the
graph of y = 5x2 − 10x + 3 algebraically.
Write an equation for the parabola with vertex
(-1, 3) and containing the point (-5, 7).
Graph f(x) = -3x4 − 6x3 + 25x2 + 9x − 29 in a
viewing window that shows all of its extrema
and intercepts. Find the coordinates of each
of these points.
October 11, 2011
Determine if x + 2 is factor of f(x) if
f(x) = x9 − 512.
Find all solutions to the equation
x4 − 2x3 − 4x2 + 7x − 2 = 0.
Write a cubic polynomial function in
standard form with 3, and 2i as roots.
Write the linear factorization of a
polynomial function with leading
coefficient 5 an roots 1, -2, and 7.
What is the constant term?