Questions from Calculus


Q: Find any intercepts. y = 2x − √x2

Find any intercepts. y = 2x − √x2 + 1

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Q: Sketch a graph of the function and find its domain and range

Sketch a graph of the function and find its domain and range. Use a graphing utility to verify your graph. f(x) = 4 / 2x – 1

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Q: Sketch a graph of the function and find its domain and range

Sketch a graph of the function and find its domain and range. Use a graphing utility to verify your graph. g(x) = √x + 1

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Q: A rancher plans to fence a rectangular pasture adjacent to a river

A rancher plans to fence a rectangular pasture adjacent to a river. The rancher has 100 meters of fencing, and no fencing is needed along the river (see figure). a. Write the area A of the pasture as...

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Q: Use the Vertical Line Test to determine whether y is a function

Use the Vertical Line Test to determine whether y is a function of x. To print an enlarged copy of the graph, go to MathGraphs.com. x + y2 = 2

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Q: Use the Vertical Line Test to determine whether y is a function

Use the Vertical Line Test to determine whether y is a function of x. To print an enlarged copy of the graph, go to MathGraphs.com. x2 - y = 0

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Q: Determine whether y is a function of x. xy +

Determine whether y is a function of x. xy + x3 – 2y = 0

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Q: Determine whether y is a function of x. x =

Determine whether y is a function of x. x = 9 – y2

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Q: Use a graphing utility to graph f(x) = x3

Use a graphing utility to graph f(x) = x3 − 3x2. Use the graph to write a formula for the function g shown in the figure. a. / b. /

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Q: What is the minimum degree of the polynomial function whose graph approximates

What is the minimum degree of the polynomial function whose graph approximates the given graph? What sign must the leading coefficient have? a. / b. / c. / d. /

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