Exam 2: Functions and Graphs

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Determine whether the equation defines y as a function of x. -x = Determine whether the equation defines y as a function of x. -x =   - 2 - 2

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Evaluate. -Find f(k - 1) when f(x) = Evaluate. -Find f(k - 1) when f(x) =   + 5x - 3. + 5x - 3.

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Solve the problem. -A rectangular sign is being designed so that the length of its base, in feet, is 18 feet less than 4 times the height, h. Express the area of the sign as a function of h.

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Find the inverse of the function. -f(x) = Find the inverse of the function. -f(x) =

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Determine whether the equation defines y as a function of x. -y = Determine whether the equation defines y as a function of x. -y =

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Determine whether the function is even, odd, or neither. -f(x) = - Determine whether the function is even, odd, or neither. -f(x) = -

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Determine the intervals on which the function is increasing, decreasing, and constant. -Determine the intervals on which the function is increasing, decreasing, and constant. -

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Find the domain and range. -x = Find the domain and range. -x =

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For the given pair of variables determine whether a is a function of b, b is a function of a, both, or neither. -a is the number of years of formal education of an adult living in the United States, and b is his or her age in years.

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Find the domain and range. -y = 4x - 11

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Graph the equation by plotting ordered pairs of numbers. -Graph the equation by plotting ordered pairs of numbers. -

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List the symmetries of the given function, if there are any. Otherwise, state "No symmetry". -f(x) = List the symmetries of the given function, if there are any. Otherwise, state No symmetry. -f(x) =   - 6x + 8 - 6x + 8

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List the symmetries of the given function, if there are any. Otherwise, state "No symmetry". -f(x) = List the symmetries of the given function, if there are any. Otherwise, state No symmetry. -f(x) =   + 2 + 2

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For the pair of functions, perform the indicated operation. -f(x) = 4 - 9x, g(x) = -2x + 9 Find f + g.

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Use transformations to graph the function and state the domain and range. -Use transformations to graph the function and state the domain and range. -

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Solve the problem. -A retail store buys 160 VCRs from a distributor at a cost of $170 each plus an overhead charge of $25 per order. The retail markup is 30% on the total cost. Find the profit on the sale of one VCR.

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Find the inverse of the function. -f(x) = Find the inverse of the function. -f(x) =

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Graph the pair of functions on the same plane. Use a dashed line for g(x). -Graph the pair of functions on the same plane. Use a dashed line for g(x). -

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Write a formula to express the relationship. Use k as the constant of variation. -The surface area of a sphere S varies directly as the square of its radius r.

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Solve the problem. -At Allied Electronics, production has begun on the X-15 Computer Chip. The total revenue function is given by R(x) = Solve the problem. -At Allied Electronics, production has begun on the X-15 Computer Chip. The total revenue function is given by R(x) =   and the total cost function is given by C(x) = 11x + 15, where x represents the number of boxes Of computer chips produced. The total profit function, P(x), is such that P(x) = R(x) - C(x). Find P(x). and the total cost function is given by C(x) = 11x + 15, where x represents the number of boxes Of computer chips produced. The total profit function, P(x), is such that P(x) = R(x) - C(x). Find P(x).

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