MAC 1105 GER Assessment Testbank Questions 20102
Level 1
1. Give the slope of the line perpendicular to y = -3x + 12
b. 1
a. 3
3
c.  1
d. - 3
3
2. Find f(-3), given f ( x)  3x 2  2 x  1.
a. 34
b. 22
c. 20
d. 33
3. Simplify the logarithmic expression.
log 2 8
a. 3
b. 4
c. 10
d. 16
4. Find the vertical asymptote of f ( x) 
3x  1
.
x2
1
3
a. y  3
b. x 
c. y  0
d. x  2
Level 2
1. A person standing close to the edge on the top of a 96-foot building throws a baseball vertically upward. The
quadratic function s(t )  16t 2  16t  96 models the ball's height above the ground, in feet, t seconds after it was
thrown. Which of the following features of the graph should you find in order to determine the baseball’s maximum
height?
a. The x-intercepts.
b. The y-intercept.
c. The vertex.
d. The domain.
2. Determine whether f ( x)  3x  5 is one-to-one and find its inverse function f 1 ( x) if it exists.
a. f is one-to-one with inverse f 1 ( x) 
x 5
3
b. f is not one-to-one with inverse f 1 ( x) 
1
3x  5
x
3
c. f is one-to-one with inverse f 1 ( x)   5
d. The function is not one-to-one and there is no inverse.
7
f(x)
y
g(x)
6
3. Use the graph to find (f + g)(–1)
5
4
3
2
1
a. 5
-7
b. 3
-6
-5
-4
-3
-2
-1
-1
x
1
2
3
4
5
6
7
-2
-3
c. –1
-4
d. –4
-5
-6
-7
4. Solving log2 ( x)  log2 ( x  2)  3 involves solving which of the following?
a. log2 x  log 2 ( x  2)  3
b. x  ( x  2)  23
c. x( x  2)  23
d. x( x  2)  32
Level 3
1. A person standing at the top of the Bank of America Tower in Jacksonville Florida throws a ball vertically upward.
The quadratic function s(t )  16t 2  64t  617 models the ball's height above the ground, in feet, t seconds after it
was thrown. At what time interval is the ball higher than the building’s height of 617 feet?
Part I: Which of the following inequalities model the situation?
a. 0  16t 2  64t  617  617
b. 16t 2  64t  617  617
c. 16t 2  64t  617  617
d. 16t 2  64t  617  617
Part II: Which of the following represent the time when the ball is higher than the building’s height of 617 feet?
a. (, 4)
b. (,0]   4,  
c. (0, 4)
d. [0, 4]
2. The game commission introduces 100 deer into newly acquired state game lands. The population N of
60t  100
the herd at time t is: N (t ) 
.
.04t  1
Part I: Find the horizontal asymptote for the function.
a. x = 1500
b. y = 160
c. y = 1500
Part II: Interpret the horizontal asymptote in this model.
a. the increase in the number of deer each year
d. x = 100
b. the maximum deer population as time goes by
c. the number of years it takes for the deer population to die out
d. the deer population as of time “0”
3. A student designs a t-shirt and has a company produce them at a cost of $6 per shirt, plus start-up costs of $85.
Part I: Assuming the student is able to sell the shirts for $11 each, give the profit function in terms of x, the number of
shirts produced and sold.
a. P(x) = 11x
b. P(x) = 5x – 85
c. P(x) = 5x + 85
d. P(x) = 11x – 91
Part II: For this problem, the profit function is a linear function; interpret the meaning of the slope of P(x).
a. It represents the increase in cost for each additional shirt produced and sold.
b. It represents the profit made on producing and selling 1 shirt.
c. It represents the change in profit for each additional shirt produced and sold.
d. It represents the breakeven point.
4. Mary inherited $10,000. She invested part of her inheritance in a CD earning 5% interest and the other part in a
money market fund earning 3% interest. After one year, Mary earned a total interest of $390 from both accounts.
Find the amount that Mary invested in each account.
Part I: Set up a system of equations to represent the problem.
a. x  y  390.50
5 x  3 y  10, 000
c. x  y  10, 000
0.05 x  0.03 y  390.50
b. x  y  10, 000
5 x  3 y  390.50
d. x  y  390.50
0.05 x  0.03 y  10, 000
Part II: Find and interpret the solution:
a. Mary invested $4525 in the CD and $5475 in the money market.
b. Mary invested $4025 in the CD and $5975 in the money market.
c. Mary invested $5975 in the CD and $4025 in the money market.
d. Mary invested $4500 in the CD and $5500 in the money market.