Exam 1: Functions and Graphs

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Evaluate. -Evaluate. -

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Write in terms of simpler forms. -Write in terms of simpler forms. -

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Find the equations of any vertical asymptotes. -Find the equations of any vertical asymptotes. -

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Use a calculator to evaluate the expression. Round the result to five decimal places. -ln 0.027

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For the given function, find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range -f(x) = For the given function, find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range -f(x) =

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Use interval notation to write the solution set of the inequality. -3x + 5 < 29

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Find the equation of any horizontal asymptote. -Find the equation of any horizontal asymptote. -

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Convert to an exponential equation. -Convert to an exponential equation. -

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Find the range of the given function. Express your answer in interval notation. -Find the range of the given function. Express your answer in interval notation. -

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Determine whether the graph is the graph of a function. -Determine whether the graph is the graph of a function. -

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Convert to an exponential equation. -Convert to an exponential equation. -

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Solve the problem. -If the average cost per unit C(x) to produce x units of plywood is given by Solve the problem. -If the average cost per unit C(x) to produce x units of plywood is given by   what is the unit cost for 10 units? what is the unit cost for 10 units?

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Provide an appropriate response. -Provide an appropriate response. -

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Use the REGRESSION feature on a graphing calculator. -A particular bacterium is found to have a doubling time of 20 minutes. If a laboratory culture begins with a population of 300 of this bacteria and there is no change in the growth rate, how many bacteria will be present in 55 minutes? Use six decimal places in the interim calculation for the growth rate.

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Solve the problem. -Using a phone card to make a long distance call costs a flat fee of $0.85 plus per $0.19 minute starting with the first minute. Find the total cost of a phone call which lasts 8 minutes.

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Convert to an exponential equation. -Convert to an exponential equation. -

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Provide an appropriate response. -Provide an appropriate response. -

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For the given function, find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range -For the given function, find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum (D) Range -

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The graph of a function f is given. Use the graph to answer the question. -Use the graph of f given below to find f(-50). The graph of a function f is given. Use the graph to answer the question. -Use the graph of f given below to find f(-50).

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For the rational function below (i) Find the intercepts for the graph; (ii) Determine the domain; (iii) Find any vertical or horizontal asymptotes for the graph; (iv) Sketch any asymptotes as dashed lines. Then sketch the graph of y = f(x). -For the rational function below (i) Find the intercepts for the graph; (ii) Determine the domain; (iii) Find any vertical or horizontal asymptotes for the graph; (iv) Sketch any asymptotes as dashed lines. Then sketch the graph of y = f(x). -

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