6.00 semester 1 exam

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 ≥ 1
   		y ≥ 2
   		y ≥ -2
   		y > -1

2 points

Question 4

1. 
   
   If f(x) = 2x and g(x) = 5x then f(x) º 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
   		-½
   		½

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?
   

   		½
   		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 = ±12
   		x = ±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 ≥ 4
   		y < 4
   		y ≤ 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).
   

   		y = 2x2 + 48x + 280
   		y = -2x2 – 48x + 280
   		y = -2x2 + 48x – 280
   		y = 2x2 – 48x + 280

2 points

Question 32

1. 
   
   Find the equation of the quadratic function with zeros 16 and 18 and vertex at (17, -2).
   

   		y = x2 – 34x + 288
   		y = 2x2 – 68x + 576
   		y = x2 + 34x + 288
   		y = -2x2 + 68x – 576

2 points

Question 33

1. 
   
   The following is the graph of f(x) = x² – 8x + 15.
   

   		TRUE
   		FALSE

2 points

Question 34

1. 
   
   Write the equation for the area (A) in terms of length ( ) of a playground if the width (w) is one half as long as the length ( ). You do not need to solve the equation.
   

   		A = 2
   		A = 2 2

2 points

Question 35