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You may use your graphing calculator when working on these problems.
1. Which statement represents "all numbers between negative 4 and positive 8" ?
[1] -4 x 8
[2] -4 < x < 8
[3] -4 x < 8
[4] -3 x 7
2. Which interval notation represents the set of numbers that are greater than or equal to -1, but are less than 9?
[1] (-1,9]
[2] [-1,9]
[3] (-1,9)
[4] [-1,9)
3.Which of the following sets is a subset of {2, 4, 6, 8, 10, 12}?
5. In a sophomore class of 80 students, 42 students take Spanish, 24 take French, and 4 students take both Spanish and French. How many students in this class are not enrolled in either Spanish or French?
[1] 18
[2] 14
[3] 12
[4] 10
6. Given the relation D = {(6,4), (8,-1), (x,7), (-3,-6)}. Which of the following values for x will make relation D a function?
[1] -3
[2] -6
[3] 8
[4] 6
7. Is the relation depicted in the chart below a function?
x
-2
3
-6
4
-7
5
y
3
-6
3
-6
3
-6
[1] Yes
[2] No
[3] Cannot be determined
8.
If f (x) = -3x - 5, what is the value of f (2) ?
[1] -11
[2] -1
[3] 1
[4] 11
9. If g (x) = 3x² - 2x - 5, what is the value of g (-1)?
12.Which statement is true about the relation shown at the right?
[1] It is a function because there exists one y-coordinate for each x-coordinate. [2] It is a function because there exists one x-coordinate for each y-coordinate. [3] It is not a function because there are multiple x-values for a given y-value. [4] It is not a function because there are multiple y-values for a given x-value.
13. What type of function is shown by the graph at the right?
[1] linear [2] exponential [3] quadratic [4] absolute value
14. A ball is tossed in the air in such a way that the path of the ball is modeled by the equation y = -x² + 6x, where y represents the height of the ball in feet and x is the time in seconds. At what time, x, is the ball at its highest point?
[1] 6
[2] 2
[3] 3
[4] 4
15. Consider the graph of the function At what point will this graph intersect the x-axis?
[1] (2,0)
[2] (0,0)
[3] (1,0)
[4] Never intersects x-axis.
16. Which equation is represented by the graph at the right?
17.
An arch is built in the shape of a parabola given by the equation . The base of the arch is determined by the two locations where the equation crosses the x-axis. If each unit on the x-axis represents one foot, how wide is the base of the arch?
[1] 4 feet
[2] 6 feet
[3] 8 feet
[4] 10 feet
18.Given sets A = {1, 2, 3, 4, 5, 6}, B = {2, 4, 6, 8} and C = {2, 3, 4, 5}, what is the intersection of the three sets?