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MAT 107 Fall 2006 (Buskirk) Exam 3A
Name___________________________________ Student ID __ __ __ __ __ __ __ __ __
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the break-even point for the given revenue and cost functions.
- Let R(x)= 27 x-5 and C(x)= 16 x+ 80. Solve for the break-even point. A) 203.6364, 7. B) 7.727273, 111. C) 1.976744, 203. D) 7.727273, 203. E) 1.976744, 111.
Tell what type of relation is represented in this scatter plot.
A) Nonlinear B) Quadratic C) Increasing D) Cubic E) Linear
Find the vertex of the graph of the quadratic function.
- f(x) = x^2 - 7x - 7 A) - 72 , (^1194)
B) 7-^2 77 , 7 +^277
C) 7
D) ( 9 , -7)
E) (-7, 91 )
Locate any intercepts of the function.
- Let f(x)= 12 - int(x).
A) x-intercept = 1; y-intercept = 1 2 B) x-intercept = 1; y-intercept = 1 C) x-intercecpt = 3 2
; y-intercept = 1
D) x-intercept =1; y-intercept = 3 2 E) No intercpets
Determine the domain and the range of the function.
- f(x) = -3x^2 - 2x - 5 A) domain: all real numbers range: y y ≤ -^143
B) domain: all real numbers range: y y ≥ (^143)
C) domain: all real numbers range: y y ≥ -^14 3
D) domain: all real numbers range: y y ≤ 14 3
Determine algebraically whether the function is even, odd, neither, or both.
- f(x) = x x2 + 5 A) even B) odd C) neither D) both
Which point must be on the graph of f(x)?
- If 3, 1 is on the graph of y = f(x), which point must be on the graph of y = 1 2
f(-x).
A) 3, 2 B) 3, - 1
C) -3, 1
D) -3, - 1
E) -3, -
Match the graph to the function listed whose graph most resembles the one given.
A) square function B) cube root function C) square root function D) cube function E) reciprocal function
The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval.
- (- 3 , 0)
-10 -5 5 10 x
y 10
5
-10 -5 5 10 x
y 10
5
A) decreasing B) increasing C) constant D) none of these
-10 -8 -6 -4 -2 2 4 6 8 10 x
y 10 8 6 4 2
-10 -8 -6 -4 -2 2 4 6 8 10 x
y 10 8 6 4 2
A) even B) odd C) neither D) both E) real
Show all work on the following problems. Leave answers in reduced radical and/or fraction format: no decimals. Partial credit will be awarded for steps that are part of a correct solution. No credit will be given for an anwer without work. Each problem is worth 10 points.
- The graph of the function f is illustrated below. Use the graph of f as the first step toward graphing g(x) = -f x 2
- Show and label the intermediate steps.
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10
10 y
9 8 7 6 5 4 3 2 1
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10
10 y
9 8 7 6 5 4 3 2 1
- Complete the square on the right side of f(x) = 3x^2 - 5x + 8. Express the answer in reduced exact form: no decimals.
