6 00 semester 1 exam 1

Question 1


  1. Which of the following is an example of a function?

2 points

Question 2


  1. What is the inverse of y = 4x – 2?
    y equals one-fourth times x plus one-half
    y equals one-fourth times x minus one-half
    y equals four times x plus one-half

2 points

Question 3


  1. What is the range of the following function? Point at (negative 2, 1) and then a straight line from the point to (0, 2), (2, 3), (4, 4).

2 points

Question 4


  1. If f(x) = 2x and g(x) = 5x then f(x) º g(x) is 7x.

2 points

Question 5


  1. What is the solution of 4x – 1 = -17?

2 points

Question 6


  1. The solution of quantity of x plus 5 divided by 2 equals 15 is 25.

2 points

Question 7


  1. The only solution to |r+3|=1 is -2.

2 points

Question 8


  1. What is the solution of |-1+x|=5?

2 points

Question 9


  1. Find the slope between points (4, 6) and (-2, 6).
    one quarter

2 points

Question 10


  1. What is the slope of the following linear function? Linear graph. Points include (negative 2, negative 5), (zero, negative 4), (2, negative 3), (4, negative 2)
    -½
    ½

2 points

Question 11


  1. What is the equation of the following linear function? Linear graph. Points include (0, negative 4), (1, 0), (2, 4)

2 points

Question 12


  1. What is the equation of the line which includes points (1, 1) and (1, 5)?

2 points

Question 13


  1. The equation of a line with slope m = – quarter and including point (-3, 5) is y = – quarter x – 4.

2 points

Question 14


  1. The following is a graph of y = -3x + 6. Graph of the line through the points (negative 1, 9), (0, 6), (1, 3), (2, 0), (1, negative 3).

2 points

Question 15


  1. The following is the graph of y = -x – 6. Linear graph. Points include (negative 10, 4), (negative 8, 2), (negative 6, 0), (negative 4, negative 2), (0, negative 6), (2, negative 8).

2 points

Question 16


  1. Write the inequality of the following graph. Dashed line including points (negative 2, 9), (0, 3), (2, negative 3), (4, negative 9). Shaded to the left of the dashed line.

2 points

Question 17


  1. The following is the graph of the quadratic parent function. ImGraph including points (negative 2, 4), (negative 1, 1), (0, 0), (1, 1), (2, 4).

2 points

Question 18


  1. What is the a value of the following function? Graph including points (negative 3, 3), (negative 1, one third), (0, 0), (1, one third), (3, 3)
    1 third
    ½

2 points

Question 19


  1. The following is the graph of f(x) = 3(x – 3)2 + 1. Graph including points (2, 4), (3, 1), (4, 4).

2 points

Question 20


  1. The following is the graph of function g(x) if h = -4 and the parent function is f(x) = x2. Graph including points (negative 6, 4), (negative 5, 1), (negative 4, 0), (negative 3, 1), (negative 2, 4).

2 points

Question 21


  1. Find the solution to x2 = 36

2 points

Question 22


  1. Solve the quadratic equation y2 – 5y = -4 by factoring.

2 points

Question 23


  1. Solve the quadratic equation x2 – 3x – 10 = 0.

2 points

Question 24


  1. Determine the number of solutions of 2x2 – 3x – 5 = 0.

2 points

Question 25


  1. The solution of x2 = 15 + 2x is {3, 5}.

2 points

Question 26


  1. The solution to x2 + 4x – 1 = 0 is

2 points

Question 27


  1. Determine the zeros of the function x2 – 9 = 0.

2 points

Question 28


  1. What is the vertex of the function f(x) = 2x2 + 16x + 21?

2 points

Question 29


  1. An object is launched upward at 45 ft/sec from a platform that is 40 feet high. What is the objects maximum height if the equation of height (h) in terms of time (t) of the object is given by h(t) = -16t2 + 45t + 40?

2 points

Question 30


  1. What is the range of the following function? Graph including points (1, negative 5), (2, 0), (3, 3), (4, 4), (5, 3), (6, 0), (7, negative 5).

2 points

Question 31


  1. Find the equation of the quadratic function with zeros 10 and 14 and vertex at (12, -8).