# 6 00 semester 1 exam 1

Question 1

1. Which of the following is an example of a function?
 {(-1, 0), (-1, 3), (3, 9), (5, 10)} {(1, 3), (2, 5), (3, 8), (4, 10)} {(4, 6), (5, 9), (4, 7)} {(0, 2), (0, 3), (1, 5), (4, 5)}

2 points

### Question 2

1. What is the inverse of y = 4x – 2?
 y = 2x + 4

2 points

### Question 3

1. What is the range of the following function?
 y â‰¥ 1 y â‰¥ 2 y â‰¥ -2 y > -1

2 points

### Question 4

1. If f(x) = 2x and g(x) = 5x then f(x) Âº g(x) is 7x.
 TRUE FALSE

2 points

### Question 5

1. What is the solution of 4x – 1 = -17?
 x = 6 x = 4 x = -4 x = -6

2 points

### Question 6

1. The solution of is 25.
 TRUE FALSE

2 points

### Question 7

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

2 points

### Question 8

1. What is the solution of |-1+x|=5?
 {-4} {6} {-6, 4} {-4, 6}

2 points

### Question 9

1. Find the slope between points (4, 6) and (-2, 6).
 0 undefined slope -4

2 points

### Question 10

1. What is the slope of the following linear function?
 2 -2 -Â½ Â½

2 points

### Question 11

1. What is the equation of the following linear function?
 y = -4x – 4 y = 4x – 4 y = 3x – 4 y = -3x – 4

2 points

### Question 12

1. What is the equation of the line which includes points (1, 1) and (1, 5)?
 x = 1 y = 1 y = x + 1 y = -x – 1

2 points

### Question 13

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

2 points

### Question 14

1. The following is a graph of y = -3x + 6.
 TRUE FALSE

2 points

### Question 15

1. The following is the graph of y = -x – 6.
 TRUE FALSE

2 points

### Question 16

1. Write the inequality of the following graph.
 y < 3x + 3 y > -3x + 3 y > 3x + 3 y < -3x + 3

2 points

### Question 17

1. The following is the graph of the quadratic parent function.
 TRUE FALSE

2 points

### Question 18

1. What is the a value of the following function?
 Â½ 3 2

2 points

### Question 19

1. The following is the graph of f(x) = 3(x – 3)2 + 1.
 TRUE FALSE

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.
 TRUE FALSE

2 points

### Question 21

1. Find the solution to x2 = 36
 x = 6 x = -6 x = Â±12 x = Â±6

2 points

### Question 22

1. Solve the quadratic equation y2 – 5y = -4 by factoring.
 {-2, 2} {2, 2} {-1, 4} {4, 1}

2 points

### Question 23

1. Solve the quadratic equation x2 – 3x – 10 = 0.
 {-5, 2} {-2, -5} {-2, 5} {2, 5}

2 points

### Question 24

1. Determine the number of solutions of 2x2 – 3x – 5 = 0.
 0 1 (double root) 2

2 points

### Question 25

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

2 points

### Question 26

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

2 points

### Question 27

1. Determine the zeros of the function x2 – 9 = 0.
 {-3} {-3, 3} {3} {0}

2 points

### Question 28

1. What is the vertex of the function f(x) = 2x2 + 16x + 21?
 (4, 11) (-4, -11) (2, -8) (5, 12)

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?
 65 feet 72 feet 80 feet 93 feet

2 points

### Question 30

1. What is the range of the following function?
 y â‰¥ 4 y < 4 y â‰¤ 4 y > 4

2 points

### Question 31

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