Unit 1 review - modeling linear functions

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

What does it mean to evaluate a function at a specific point, such as c(1)?

Back

Evaluating a function at a specific point means substituting that point into the function to find the corresponding output value.

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

How do you determine the domain of a function in a real-world context?

Back

In a real-world context, the domain is often restricted to non-negative integers or values that make sense in the situation, such as time or quantity.

Front

What is a linear function?

Back

Front

What does the slope of a linear function represent?

Back

The slope of a linear function represents the rate of change of the function; it indicates how much the output value (y) changes for a unit change in the input value (x).

Front

What is the y-intercept of a linear function?

Back

Front

How can you find the slope from two points on a line?

Back

Front

What is a function's output when the input is 0?

Back

The output when the input is 0 is found by evaluating the function at that point, which often gives the y-intercept.

Front

What does it mean for a function to be increasing or decreasing?

Back

A function is increasing if its output values rise as the input values increase, and decreasing if its output values fall as the input values increase.