Prof. Porter’s MAT146 Sample Test #1
- (C 2) If it is possible for Don to sell 200 bells at $4 a piece or 50 bells at $19 a piece, use a linear relationship to describe the number of bells N he can sell given the price P?
(leave the equation in point -slope or slope intercept form)
Answer:_________________________
- (C 2) Suppose that the temperature T is directly proportional to the energy used E. What would the equation for T be if the Temperature is 300 when the energy = 50?
Answer:_________________________
What should energy usage be if the temperature should be 500?
Answer:_________________________
- (C.1) Given the function f(x) = 5x2 + 3
Give f(a)
f(a):_________________________
Give f(a+h)
f(a+h):_________________________
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Find and simplify:
Answer:_________________________
- (C. 1) Sketch the graph of the function . Give the domain and range.
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Domain:_________________________
Range:_________________________
- ( C 1) Graph : g(x) = 5 (x - 2)2 - 7
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Explain in words what has happened to the functions above.
- ( 3.1) Choose either of the functions below and find what is the EXACT value for the maximum or minimum.
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Extrema:_________________
What is the degree of the polynomial function?______________
How many faces could any polynomial of that degree have?_______________________________
Can there be only one complex root? Why?___________________________________________
- ( 3.2) An open box is created by cutting squares with sides of length x from the corners of a piece of cardboard with dimensions 800 by 20.
If the volume is given by the equation V = x (800 - 2x) ( 20 - 2x)
Give a qualitative graph of the function: (label the x –intercepts)
Suggest a realistic domain given the situation above:________________________________
- (3.2) Use long division to show that x + 1 is a factor for the functions: f(x) = x4 + 3x3 + 2x2
Verify that x = 0 is a root.
Find the zeros to the polynomial exactly.
Zeros:_________________________
- (C1) Use the following data to answer the questions below.
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a.) Plot the data points on the graph |
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b.) Draw an exponential curve of best fit on the graph. |
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c.) Use the calculator to give the equation of the regression |
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Regression:_______________________
- (3.4) Find the Vertical and Horizontal Asymptotes for:
Vertical:
Horizontal:
Vertical:
Horizontal:
- (3.4) Given the equation:
Give a qualitative graph for the entire function. Show the asymptotes and intercepts.
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ANSWER:____________________