PRACTICE TEST 1
1 Solve by undoing the square
x = plus or minus 2
2
Solve by Greatest Common Factor and Zero Factor Principle
2x(x+3) = 0
2x=0 or x + 3 = 0
x = 0 and x = -3
3 Solve by Factoring
x = 6 and x = 2
4 Solve by Quadratic Formula (show work)
2 x 2 + 5 x = - 3
x = - 1 and x = -3/2
5 Use Graphing method to approximate the roots
draw graph and label the solutions
y = x 2 + 7.2 x - 8
x = - 8.2 and x = .98
6 If y = - 3 x 2 - x + 9
a) does parabola have a maximum or minimum
it has a maximum
b) Find the EXACT Vertex x = - 1/6
y value of vertex is 109/12
e) Find the APPROXIMATE ROOTS
x = -1.91,
x = 1.57
f) What is the y intercept ( 0, 9)
7 Given these values
a)what would be a suitable WINDOW to view these values
x min 0, x max 40,
y min -230, y max 410
b) interesting points
a) x intercepts15 and 45
b) y intercept ( 0, 400)
c) vertex ( 25, 220)
.8 Let
h= -4.9t2 + 15 t + 1.5 model the height of water shot from a water pistol, where h is the height of the water in meters above the ground after t seconds.a) What is the initial height of the water?_1.5 meters
b) when will the water hit its high point?__1.53seconds____
c) What is the water's highest point ? __13 meters_
d) How long before the water hits the ground?__3.16 seconds
Draw graph with interesting points
x
Y1
0
400
10
0
20
-200
25
-220
30
-200
40
0
9. Show the domain and range of
on a number line
Domain: (x) ( -infinity, -1) or ( -1, +infinity)
Range: (y) or f(x) (-infinity, 0) or ( 0,+ infinity)
10 Input Output
1 3
2 0
3 3
4 12
Is this a function? Explain This is a function because for each x there is a unique y. ( x values are not repeated) passes the vertical line test. Any vertical line crosses the graph only once.
11 Name all the basic functions in section 8.3 and draw a graph:
Linear Function
Quadratic Function
cubic Function
square root Function
absolute Value Function
Reciprocal Function .
12. Let f(x) = x+3and g(x) = x2 - 2 Find the compositions
a) f(g(2)) = 5 b) g(f(0)) = 7
c) g(f(x)) = x2 + 6x +7
13. The formula R = -3.5 P2 + 60 P models the amount of revenue in dollars generated from the price of the product at P dollars.
a) at what price( other than zero) does the product generate no revenue?
$ 17.14
b) At what price does the product generate the most revenue?
$ 8.57
14 Describe how the graph of f(x) = - x2 is changed by each of the modifications( this graph is a basic parabola ( vertex (0,0) ) opening down a) f(x) + 2 moves parabola 2 units up on y axis
b) f(x + 3) moves parabola 3 units to the left on the x axis
c) -f(x) reflects parabola over the x axis
d) 4 f(x) pulls parabola toward the y axis,
narrows the parabola pulls toward y axis
e) -f(x-2) =1 reflects over x axis moves right 2 and up 1
15. Write an equation for this modified absolute value function. ( use only modifications of addition and/or subtraction)
f(x) = | x - 1 | - 2
16 A big screen TV has a diagonal of 12 feet. If the width is 2 foot more than the height. What are the dimensions of the TV. Show all work.
A) Diagram and label variable
B) set up equation x2 + ( x + 2 ) 2 = 122
c) solve equation
d) Answer question 7.4 feet by 9.4 feet
