Unit 10: Topics 1-4

Front

Back

Domain: [7, ∞) and Range: [0, ∞)

Front

Back

x ≠ 6

Front

If the time required to do a job varies inversely as the number of people working, how long will it take 8 bricklayers to complete a job that takes 10 hours for 4 bricklayers?

Back

5 hours

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Back

Front

Back

{0, 5.5}

Front

Define the domain of a function.

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

Define the range of a function.

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What does it mean for a function to be invertible?

Back

A function is invertible if it has a unique output for every input, allowing for the existence of an inverse function.

Front

What is the formula for inverse variation?

Back

If y varies inversely as x, then y = k/x, where k is a constant.

Front

How do you find the inverse of a function algebraically?

Back

To find the inverse, replace f(x) with y, swap x and y, and solve for y.