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College Algebra

Section 2.5 ? Modeling . The price and the quantity sold are represented by the demand equation: p=-1/6x 100 where 0=x =600. 1. Express the revenue R as a function of x. (remember R=xp)2. What is the revenue if 200 units are sold?. Answer: 1. R(x)=-1/6x2 100x 2. $13,333.33

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College Algebra

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    1. College Algebra Chapter 2 Review

    2. Section 2.5 – Modeling The price and the quantity sold are represented by the demand equation: p=-1/6x + 100 where 0=x =600. 1. Express the revenue R as a function of x. (remember R=xp) 2. What is the revenue if 200 units are sold?

    3. Section 2.5 – Modeling Use the same information from the previous problem: 3. Graph the revenue function R(x)=xp on your calculator 4. What quantity x maximizes revenue? (use your calculator to help!) What is the maximum revenue? 5. What price maximizes the revenue?

    4. Section 2.1 - Functions Determine if the following is a function. If it is state the domain and range: 1. {(0, 2) (3, 4) (2, -1) (4, 7)} 2. {(3, -4) (2, 1) (-2, 1) (7, 3) (2, 5)}

    5. Section 2.1 - Functions Use the vertical line test to determine if the following graphs are functions: 1. 2.

    6. Section 2.1 - Functions Answer the questions about the given function: 1. Is the point (4, 1) on the graph of f 2. If x=4, what is f(x) 3. If f(x) = 2 what is x 4. What is the domain of f

    7. Section 2.2 – More on Functions Use the graph to find: 1. Domain and Range 2. Intervals on which it is: increasing, decreasing or constant 3. Whether the graph is even, odd or neither 4. Any intercepts

    8. Section 2.2 – More on Functions If find: 1. f(-2) 2. f(0) 3. f(1) 4. Then Graph

    9. Section 2.2 – More on Functions Determine algebraically whether each function is even, odd or neither. 1. 2. 3.

    10. Section 2.2 – More on Functions Find the Average Rate of Change between 0 and x: 1. First identify the formula for average rate of change 2. f(x) = 2 – 5x

    11. Section 2.3 – Graphing Describe how the given graphs shift from the parent functions. 1. 2. 3.

    12. Section 2.3 – Graphing Graph the following functions: 1. 2.

    13. Section 2.3 – Graphing Graph the following functions: 3. 4.

    14. Section 2.4 – Composite Functions Let f(x) = 2x – 1 and g(x) = 3x find the following: 1. f º g(x) 2. (f - g)(x) 3. (f + g)(x)

    15. Section 2.4 – Composite Functions Suppose that: and Find: 1. f(g(1)) 2. g(f(1)) 3. g º g(x)

    16. Section 2.4 – Composite Functions Show that f(g(x)) = x and g(f(x))=x given:

    17. Section 2.5 – Modeling The price and the quantity sold are represented by the demand equation: x=-5p + 100 where 0=x =20. 1. Express the revenue R as a function of x. (remember R=xp) 2. What is the revenue if 15 units are sold?

    18. Section 2.5 – Modeling Use the same information from the previous problem: 3. Graph the revenue function on your calculator 4. What quantity x maximizes revenue? (use your calculator to help!) 5. What is the maximum revenue?

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