College Algebra MAT141 PRACTICE TEST #1 PROF. PORTER
1. What is College Algebra?
Give three different ways that you can describe f(x)?
2. Suppose that an average 60” tall student weighs 100lbs, and an average 65” student weights 130lbs. Use a linear relationship to describe the average student’s weight W as a function of the student’s height H.
W(H)=_________________________
3. Suppose you find that W(H) = 6H-240, where H is the heigtht and W is the weight. How tall should a 200lb student be?
ANSWER:_____________________
4. Suppose there are three data points: (60,100), (65,130) and (70, 175). Find a linear regression for the three points.
(be sure to describe calculator steps)
ANSWER:_____________________
How much should y be given the linear regression and if x = 75?
ANSWER:_____________________
5. Plot the three points (60,100), (65,130) and (70, 175), and draw the graph of the linear regression.
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6. Given the function f(x) = 2x2 + 7.46
Give f(a)
f(a):_________________________
Give f(a+h)
f(a+h):_________________________
Find and simplify:
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Answer:_________________________
7. Sketch the graph of the function .
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8. Give the domain and range for problem #7
Domain:_________________________
Range:_________________________
9. Graph : g(x) = -4(x-3)2 + 2
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Explain in words what has happened to the parent function x2 above and in the correct order.
10. Given the data, which is not a function and why?
A: {(1,2),(2,3),(3,4)} B: {(1,2),(2,1),(2,3)} C:{(1,1),(2,1),(3,1)}
Answer:_________________________
Given the possible functions below, find the inverse if possible?
A: {(1,2),(2,3),(3,4)} B: {(1,2),(2,1),(2,3)} C:{(1,1),(2,1),(3,1)}
Answer:_________________________
11. Find the domain for the functions
12. Find (f o h )(x) in problem #11.
Answer:_________________________
Find the domain for (f o h )(x) in problem #11
Answer:_________________________
Find (f o h )(0)
13. Graph the function f(x) = x (3-x). Find the range, relative maximum, and when the function is decreasing.
Relative maximum:_____________________
Function is decreasing:___________________
14. Find the inverse for f(x) = 2x – 3
Answer:_________________________
What test is used on a graph to find if the inverse exists?
Answer:_________________________