Pre/Post Test Functions Sec 1-3 - OakPark

Front

What does the function C(x) = 1/2x + 3 represent in the context of a snowstorm?

Back

C(x) represents the number of inches of snow on the ground x hours after the snowstorm starts.

Front

What is the interpretation of C(2) in the function C(x) = 1/2x + 3?

Back

C(2) = 4, meaning there is 4 inches of snow after 2 hours.

Front

How do you find the value of x for which g(x) = 11 in the function g(x) = x + 3?

Back

Set g(x) = 11: 11 = x + 3, so x = 8.

Front

What is the range of a function?

Back

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

Front

What does the mapping {(0, 1), (1, 2), (2, 2), (3, 4)} represent?

Back

It represents a relation where each input (x-value) is paired with an output (y-value).

Front

What is the domain of a function?

Back

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

Front

If C(8) = 7 in the function C(x) = 1/2x + 3, what does this mean?

Back

It means there is 7 inches of snow after 8 hours.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output.

Front

How do you interpret the slope in a linear function like C(x) = 1/2x + 3?

Back

The slope (1/2) indicates the rate of change; for every hour, the snow increases by 1/2 inch.

Front

What is the y-intercept in the function C(x) = 1/2x + 3?

Back

The y-intercept is 3, meaning there are 3 inches of snow at the start (x=0).