Math 134 Business calculus

Chapter 3

Homework:
3.25. Given f(x) = 5x +12 evaluate using the triangles and rectangles:
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3.26. Given f(x) = 5x +12 evaluate using the integral package on the TI-Nspire:
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3.28. Find the area bounded by the x- axis, the graph of the function f(x) = x, and the lines:
x = 2 and x = 5: _________________________________________________________________
x = 0 and x = 5: _________________________________________________________________
x = -2 and x = 5: ________________________________________________________________
x = -5 and x = 5: ________________________________________________________________

3.30. An object is traveling with along a horizontal path with a velocity of v = 3t + 5 feet per second. How far did it travel between the times:
0 and 1? _____________________________________________________________________________
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2 and 10? ____________________________________________________________________________
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Chapter 4 part 1
p10 #4.8 – 4.13
p19 #4.16, 4.17

4.8. Graph f(x) = 0.4×2 + 2x -1
What is the domain of this function? _____________________________
What is the range of this function? _______________________________
Find the zero(s) of this function: _________________________________
Find the y-intercept of this function: ______________________________
What is the degree of this function? _______________________________
What is the leading coefficient? __________________________________
Describe the behavior of this function. ____________________________
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4.9. Graph f(x) = -0.8×2 -3x +4
What is the domain of this function? _____________________________
What is the range of this function? _______________________________
Find the zero(s) of this function: _________________________________
Find the y-intercept of this function: ______________________________
What is the degree of this function? _______________________________
What is the leading coefficient? __________________________________
Describe the behavior of this function. ____________________________
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Note: Polynomials of degree 2 are called quadratic polynomials. 

4.10. Graph f(x) = x3 – 4×2 + x + 3
What is the domain of this function? _____________________________
What is the range of this function? _______________________________
Find the zero(s) of this function: _________________________________
Find the y-intercept of this function: ______________________________
What is the degree of this function? _______________________________
What is the leading coefficient? __________________________________
Describe the behavior of this function. ____________________________
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Note: Polynomials of degree 3 are called cubic polynomials. 

4.11. Graph f(x) = 2×3 + 4x + 5
What is the domain of this function? _____________________________
What is the range of this function? _______________________________
Find the zero(s) of this function: _________________________________
Find the y-intercept of this function: ______________________________
What is the degree of this function? _______________________________
What is the leading coefficient? __________________________________
Describe the behavior of this function. ____________________________
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4.12. Graph f(x) = x5 – 5×3 + 2×2 +5x +8
What is the domain of this function? _____________________________
What is the range of this function? _______________________________
Find the zero(s) of this function: _________________________________
Find the y-intercept of this function: ______________________________
What is the degree of this function? _______________________________
What is the leading coefficient? __________________________________
Describe the behavior of this function. _____________________________
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4.13. Graph f(x) = -3×4 + 14×3 – 54 x + 3
Discuss the things you notice about the behavior of this function.
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4.16. Profit is simply defined to be the difference between revenue from the sales of a product and the cost of producing that product. A delicatessen owner reviews historical sales records and discovers the following data concerning daily tuna salad production and daily profit from sales of tuna salad.
Sales
(in pounds) 2 18 21 15 10 25 31 35 8 35 15 31 2
Daily Profit
(Dollars) 100 370 400 360 320 370 300 150 160 190 375 270 75

Use the data found in the table above and the TI-NSpire quadratic regression procedure to find a mathematical model that predicts the daily profit at a given level of tuna salad sales.
Model: ___________________________________________________________
Interpret the meaning of the y-intercept in the context of this problem.
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Interpret the meaning of the zeros of this model in the context of this problem.
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Describe the behavior of the model.
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4.17. Use the data found in Example 0.7 and the TI-NSpire quadratic regression procedure to find a mathematical model that predicts the number of cups of coffee sold at a given temperature.
Model: ___________________________________________________________
Interpret the meaning of the y-intercept in the context of this problem.
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Interpret the meaning of the zeros of this model in the context of this problem.
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Describe the behavior of the model.
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Comment on the predictive quality of this model.
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