Mod 4 Finals Review

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What is the domain of a linear function?

Back

The domain of a linear function is the set of all possible input values (x) for which the function is defined. For example, if a linear function is defined for -3 < x ≤ 5, then the domain is the interval (-3, 5].

Front

How do you express the interval for a linear function?

Back

The interval for a linear function can be expressed using inequalities. For example, -2 ≤ x < 4 indicates that x can take any value from -2 to 4, including -2 but not including 4.

Front

What is an inverse function?

Back

An inverse function reverses the effect of the original function. If f(x) = y, then the inverse function f^(-1)(y) = x.

Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions based on the input value. For example, c(p) could represent different costs based on the number of people p in a group.

Front

How do you determine the interval where a piecewise function charges the most?

Back

To determine the interval where a piecewise function charges the most, analyze the function's expressions and find the interval with the highest value.

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What does the notation -3 < x ≤ 5 mean?

Back

This notation means that x is greater than -3 and less than or equal to 5.

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What does the notation -2 ≤ x < 4 mean?

Back

This notation means that x is greater than or equal to -2 and less than 4.

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How do you find the inverse of a function given in a table?

Back

To find the inverse of a function given in a table, swap the input and output values. For example, if the table shows (a, b), the inverse will show (b, a).

Front

What is the significance of the domain in a function?

Back

The domain is significant because it defines the possible inputs for the function, which directly affects the outputs.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y) that the function can produce based on its domain.