Feb Cumulative Problems.notebook
Problem Set ­ February 2nd Factor the following:
1. 5(x ­ 3) + x(x ­ 3)
2. (x + 4)2(x ­ 2) ­ (x ­ 2)2(x+4)3
Problem Set ­ February 3rd Given f(x) = 2x3 + Ax2 + Bx ­ 9, f(1) = ­8 and f(­3) = ­12, find the value of 5A + 2B. Only an algebraic solution is acceptable.
Problem Set ­ February 5th Given f(x) = 4x3 + Ax2 + Bx ­ 6, f(­3) = ­42 and f(2) = 48, find the value of ­4A + 5B. Only an algebraic solution is acceptable.
Problem Set ­ February 9th 1. Factor completely. 2. Select an odd function, f(x). Select another odd function, g(x).
Find the sum of the two functions and determine if it is even, odd or neither. Use the definition to support your statement. Find the product of the two functions and determine if is is even, odd or neither. Use the definition to support your statement.
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Feb Cumulative Problems.notebook
Problem Set ­ February 11th 1. The graph provided below represents an even function, please complete the graph. y
10
9
8
7
6
5
4
3
2
1
2. Given Determine if f is even, odd or neither. ­10
­8
­6
­4
­2
­10
­2
­3
­4
­5
­6
­7
­8
­9
­10
x
2
4
6
8
10
Problem Set February 17th
Prove f(x) is even, using the definition of
2. If f is an odd function and g is an even function, such that f(a) = b and
(c) = b, and b
g
0, then
evaluate
Problem Set - February 18th
1. Factor Completely.
2. If f and g are even and odd functions, respectively, such that f(a) = b
and g(c) = b and b
0, then
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Feb Cumulative Problems.notebook
Problem Set - February 22nd
1. State the vertical asymptote, horizontal asymptote and intercepts for each
of the following.
Graph the
function.
State:
Range
x-intercept(s)
y-intercept
f(-1)
f(1)
February 23rd Problem Set
1. State the following:
Equation of the Vertical Asymptote
Equation of the Horizontal Asymptote
The x-intercept
The y-intercept
2. Graph the following. Be sure to state any asymptotes and intercepts and be sure
to include them on the graph.
Problem Set - February 25th
1. Determine the domain and range of P(x) = [x - 2] + 1/2
2. Even, Odd or Neither
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Feb Cumulative Problems.notebook
Problem Set - February 29th
1. Write a polynomial equation, of least degree, that has a root of one
three times, and roots of 3 and 8.
2. The function y = f(x) is shown graphed to the right. Answer the
following questions based on this graph.
a. State the y-intercept of the function.
b. State the x-intercept(s) of the function.
c. Over the interval -1 < x < 2
is f(x) increasing or decreasing? How can you tell?
d. State an interval where f(x) is decreasing.
e. Give the interval in which f(x) > 0.
f. State the domain and range using interval notation.
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