Functions Review

Front

What is 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

Identify the Domain of the function: -3 ≤ x < 5.

Back

The Domain is the interval from -3 to 5, including -3 but not including 5.

Front

What is the average rate of change of a function?

Back

The average rate of change of a function over an interval is the change in the function's value divided by the change in the input value over that interval.

Front

Calculate f(5) if f(x) = x + 7.

Back

f(5) = 5 + 7 = 12.

Front

What is an x-intercept of a function?

Back

The x-intercept is the point where the function crosses the x-axis, meaning the value of y is 0.

Front

Identify the x-intercept of the function if f(x) = 0 at x = 2.

Back

The x-intercept is x = 2.

Front

What does the notation f(x) represent?

Back

f(x) represents the output of the function f for a given input x.

Front

What is 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

How do you find the average rate of change between two points, say [16, 19]?

Back

Average rate of change = (f(19) - f(16)) / (19 - 16).

Front

What is the significance of the interval [13, 17] in terms of average rate of change?

Back

It represents a specific range over which the average rate of change can be calculated.