Start with the graph of y = ex. a) Describe a sequence of transformations that results in the graph of y = f(x); b) Find the range of f(x); c) Find the horizontal asymptote of the graph of f.f(x) = e2 - 5x - 3
A. a) The graph of y = ex is compressed horizontally by a factor of 
, reflected in the y-axis, shifted 
unit to the right, and shifted down three units.
b) (-3, ?)
c) y = -3
B. a) The graph of y = ex is compressed horizontally by a factor of 
, reflected in the y-axis, shifted 
unit to the left, and shifted down three units.
b) (-3, ?)
c) y = -3
C. a) The graph of y = ex is compressed horizontally by a factor of 
, reflected in the x-axis, shifted 
unit to the left, and shifted up three units.
b) (3, ?)
c) y = 3
D. a) The graph of y = ex is compressed horizontally by a factor of 
, reflected in the y-axis, shifted 
units to the left, and shifted down three units.
b) (-3, ?)
c) y = -3
Answer: A
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Consider the function 
.
?
A: Estimate the value of 
at 
by calculating the average rate of change from 
to 
.
?
B: Estimate the value of 
at 
by calculating the average rate of change from 
to 
.
?
C: Which of the numbers you calculated in parts A and B is likely to give a better estimate for the true value of 
at 
?
What will be an ideal response?
Find the average rate of change for the function between the given values.f(x) = x2 + 6x; from 3 to 7
A. 
B. 
C. 16
D. 13
A company handles an apartment building with 80 units. Experience has shown that if the rent for each of the units is $360 per month, all the units will be filled, but 1 unit will become vacant for each $10 increase in the monthly rate. What rent should be charged to maximize the total revenue from the building if the upper limit on the rent is $600 per month? ?
A. 
B. 
C. 
D. 
E. 
Factor the polynomial.x4 - 16
A. (x2 + 4)(x + 2)(x - 2) B. (x + 2)2(x - 2)2 C. (x2 + 4)(x - 2)2 D. (x2 + 4)(x2 - 4)