Download 6) Given the formula g(x) = -3x3 - 11, find f(-2)

MAT 114
Test #2D – Chapter 2
Name ___________________________
1) Determine whether (-6, -1) is solution of the equation: 3x – 5y = 11
<A> YES
<B> NO
2) Given the function f(x) = – 3x2 – 10, find f(-2) = _________
3) Find the slope and the y-intercept for y = 2x – 3
Slope ___________; y-intercept ______________
4) Find the slope and the y-intercept for y = 7
Slope ___________; y-intercept ______________
5) Identify whether the two graphs are parallel, perpendicular, or none
6x – 4y = – 2 and 2y = – 3x + 1
<A> parallel
<B> perpendicular
<C> neither parallel nor perpendicular
<D> None of the above
6) What is the domain of y = 2x + 1
(A) (–∞,∞)
(C) (–∞, – 1) U (–1,∞)
(B) All real numbers except 0
(D) None of the above
7) Find the domain of the graph below
<A> (– ∞, 3]
<C> (– ∞, 3)
<B> [1, 3)
<D> [– 3, ∞)
8) Find the range of the graph above
<A> (– 3, 3]
<C> (– ∞, 3)
<B> (– 3, ∞)
<D> [– 3, ∞)
9) Find the domain of this function:
<A> (-∞, ∞)
<C> All real numbers except -2
6
x2
<B> (-∞, 2) U (2,∞)
<D> (-∞, -2) U (-2,∞)
10) Use vertical line test to determine if the following graphs are functions or not functions
<A> YES, function
<B> NO, not a function
<A> YES, function
<B> NO, not a function
11) Find the rate of change for the graph below.
12) Find a linear function that has the slope m = -3 and contains the point (0, -4)
13) Find an equation of the line that go through these two points (1,2), and (2, -3)
14) Find an equation of the line containing point (3,0) and parallel to the line
3y + 5 = x
15) Graph y = - ¾ x + 2
16) Graph x = -3
17) Graph 3x + 2y = 4
18) Choose the correct graph: y = x2 - 4
19) The function S(t) = 0.87 t + 4.92 can be used to estimate the sales of U.S. Saving Bonds, in
billions of dollars, t year after 1998. ( t = 0 represents 1998)
Estimate sales of U.S. Saving Bonds in 2009
20) For service call, TimTim Home Repair charged a $30 trip fee and $50 per hour for labor.
a) Create a linear function that models the total cost of a service call C(x) where x is the number of
hours.
b) Use the function above to determine the cost of 3 hours service call.