Exam 8: Functions and Their Graphs

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Evaluate the function for the indicated value. -f(x) = -3x + 1; find f(3)

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Determine whether the graph illustrated represents a function. Give the domain and range of the relation or function. -Determine whether the graph illustrated represents a function. Give the domain and range of the relation or function. -

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Solve the problem. -The cost C, in dollars, to produce x graphing calculators is given by the function graphed below. Estimate the cost of producing 55 calculators. Solve the problem. -The cost C, in dollars, to produce x graphing calculators is given by the function graphed below. Estimate the cost of producing 55 calculators.

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The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to answer the question. The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to answer the question.   -What percentage of the students at State University were enrolled in the College of Engineering in 1965? -What percentage of the students at State University were enrolled in the College of Engineering in 1965?

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Determine whether the graph illustrated represents a function. Give the domain and range of the relation or function. -Determine whether the graph illustrated represents a function. Give the domain and range of the relation or function. -

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Graph the equation. -Graph the equation. -

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The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to answer the question. The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to answer the question.   -If f represents the function, find f(2000). -If f represents the function, find f(2000).

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Use the graph to find the value. Use the graph to find the value.   -(f · g)(6) -(f · g)(6)

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Solve the problem. -The graph below shows the total sales of houses in a town from 2000 to 2005. The graph also shows the sale of houses in the summer , S, and in the other times of the year, Y. Solve the problem. -The graph below shows the total sales of houses in a town from 2000 to 2005. The graph also shows the sale of houses in the summer , S, and in the other times of the year, Y.   Estimate (S+Y)(2001). Estimate (S+Y)(2001).

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Use a calculator to obtain at least eight points that are solutions to the equation. Then graph the equation by plotting points. -Use a calculator to obtain at least eight points that are solutions to the equation. Then graph the equation by plotting points. -

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Graph the equation. -Graph the equation. -

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Graph the equation. -Graph the equation. -

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Solve the problem. -If a line passes through the points (-6, 5) and (4, 13), find the change of y with respect to a 1-unit change in x. Round to three decimal places, if necessary.

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Graph the linear function by plotting the x- and y-intercepts. -Graph the linear function by plotting the x- and y-intercepts. -

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Solve the problem. -The formula for the volume of a right circular cylinder is Solve the problem. -The formula for the volume of a right circular cylinder is   . If the height is 19 m, then the volume is a function of the radius, r. Write the function using function notation, where the height is 19. Determine the Volume if the radius is 11 m. . If the height is 19 m, then the volume is a function of the radius, r. Write the function using function notation, where the height is 19. Determine the Volume if the radius is 11 m.

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Find the equation of a line with the properties given. Write the equation in the form indicated. -Through (4, 4) and perpendicular to the line whose equation is Find the equation of a line with the properties given. Write the equation in the form indicated. -Through (4, 4) and perpendicular to the line whose equation is   function notation function notation

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Determine whether the two given lines are parallel, perpendicular, or neither. -Determine whether the two given lines are parallel, perpendicular, or neither. -

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Illustrate the set on a number line. -Illustrate the set on a number line. -

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Use the graph to find the value. Use the graph to find the value.   -(f + g)(-4) -(f + g)(-4)

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Solve the problem. -An investment is worth $3681 in 1994. By 1997 it has grown to $4674. Let V be the value of the investment in the year x, where x = 0 represents 1994. Write a linear function that models the value of the investment in the Year x.

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