Pre-Calculus CP
Unit Test #1
1. Determine ALL the x-intercepts of the function using factoring of difference of two squares:
f ( x)  9 x 4  25 x 2
5
5
[A] 
[B] 0, 
3
3
[C] 
5
9
[D] 0, 
5
9
Use the Quadratic Formula to solve for x of the function: f ( x)  2 x 2  2 x  5
[A] x  2.158, 1.158
[B] x  2.658, .658
[C] x  1.317, 5.317
2.
[D] none
3. Describe the transformation for the following: f ( x)  x  5  4
[A] Right 5, up 4
[B] Left 5, down 4
[C] Right 5, down 4
[D] Left 5, up 4
4. Find the slope of the line that passes through the ( ½ , 4 ) and ( ¾ , -2)
[A] 1/4
[B] 8
[C] -6
[D] -24
1
4
5. Find the y-intercept of the function: f ( x)  x 2  2 x  12 .
[A] 0
[B] ¼
[C] -4
[D] -12
6. Find the vertex of the function f ( x)  x 2  x  20 . Determine if the vertex is a maximum or a minimum.
[A] V(-.5, -19.25);max
[B] V(-.5, -19.25);min
[C] V(.5, -20.25);max
[D] V(.5, -20.25);min
***Use the following information to answer questions 7 and 8.***
Let x be the amount of teddy bears that Build-a-Bear sells, and let P be the profit in $, where
7. How many teddy bears must Build-a-Bear sell in order to yield a maximum profit?
[A] 200
[B] 20
[C] .0435
[D] 230
8. What is this maximum profit?
[A] $230
[B] $9.32
[C] $430
[D] $4,000
P  230  20 x  .5 x 2
9. Define the interval using the appropriate notation.
10. Multiply the polynomials.
11. Multiply the polynomials.
12. Define the interval using the appropriate notation.
13. Solve the equation.
14. Solve the equation.
15. Solve the equation.
16. Solve the equation.
NAME: _______________________________
Unit Test #1
Date__________
Questions 1-11 are multiple choice, 12-16
are short response.
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Open-ended question
17) Use the vertex and intercepts to sketch the graph of each quadratic function. Use the graph to determine the
function’s domain and range.
a.
f ( x)  ( x  1) 2  4
b.
f ( x)  x 2  2 x  3