50 POINTS FOR ALGEBRA ANSWERS
1. What are the zeros of the function?
f(x)=x3−x2−6x
A. −3 , 0, and 2
B. −3 , 0, and 1
C. −2 , 0, and 3
D. −1 , 0, and 3
2. The equation h(t)=−16t2+19t+110 gives the height of a rock, in feet, t seconds after it is thrown from a cliff.
What is the initial velocity when the rock is thrown?
3. Factor.
x2−6x+8
x2−6x+8= ( )( )
4. What are the zeros of the function f(x)=x2+2x−35 ?
There are two.
5. Let f(x)=x2−6x+13 .
What is the vertex form of f(x)?
What is the minimum value of f(x)?
6. Let f(x)=4x and g(x)=4x+1−2 .
Which transformations are needed to transform the graph of f(x) to the graph of g(x) ?
7. What is the average rate of change of the function over the interval x = 0 to x = 4?
f(x)=2x−1/3x+5
Enter your answer, as a fraction.
8. Which function grows at the fastest rate for increasing values of x?
A. g(x)=19x
B. h(x)=2x
C. f(x)=8x2−3x
D. p(x)=5x3+3
9. The equation of the linear regression line represents the relationship between the score a student earned on an aptitude test, x, and their final score in a statistics class, y.
yˆ=1625x+24.9
What does the slope of the line represent?
A. For every 25 points earned on the aptitude test, the student earned 16 fewer points in the statistics class.
B. For every 16 points earned on the aptitude test, the student earned 25 fewer points in the statistics class.
C. For every 25 points earned on the aptitude test, the student earned 16 additional points in the statistics class.
D. For every 16 points earned on the aptitude test, the student earned 25 additional points in the statistics class.
