Questions from General Calculus


Q: Find the domain and sketch the graph of the function.

Find the domain and sketch the graph of the function. f (t) = 2t + t2

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Q: The graph shown gives the weight of a certain person as a

The graph shown gives the weight of a certain person as a function of age. Describe in words how this person’s weight varies over time. What do you think happened when this person wa...

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Q: Determine whether f is even, odd, or neither. If

Determine whether f is even, odd, or neither. If you have a graphing calculator, use it to check your answer visually.

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Q: If and are both even functions, is f + g even

If and are both even functions, is f + g even? If and are both odd functions, is f + g odd? What if f is even and g is odd? Justify your answers.

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Q: If and are both even functions, is the product fg even

If and are both even functions, is the product fg even? If f and g are both odd functions, is fg odd? What if f is even and g is odd? Justify your answers.

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Q: Sketch the graph of the amount of a particular brand of coffee

Sketch the graph of the amount of a particular brand of coffee sold by a store as a function of the price of the coffee.

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Q: You place a frozen pie in an oven and bake it for

You place a frozen pie in an oven and bake it for an hour. Then you take it out and let it cool before eating it. Describe how the temperature of the pie changes as time passes. Then sketch a rough gr...

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Q: A homeowner mows the lawn every Wednesday afternoon. Sketch a rough

A homeowner mows the lawn every Wednesday afternoon. Sketch a rough graph of the height of the grass as a function of time over the course of a four-week period.

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Q: An airplane takes off from an airport and lands an hour later

An airplane takes off from an airport and lands an hour later at another airport, 400 miles away. If t represents the time in minutes since the plane has left the terminal building, let x(t) be the ho...

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Q: The number N (in millions) of US cellular phone subscribers

The number N (in millions) of US cellular phone subscribers is shown in the table. (Midyear estimates are given.) (a). Use the data to sketch a rough graph of N as a function of (b). Use your graph...

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