Unit 1 review - modeling linear functions

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form f(x) = mx + b, where m is the slope and b is the y-intercept.

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 (y) changes for a unit change in the input (x).

Front

How do you evaluate a function at a specific point?

Back

To evaluate a function at a specific point, substitute the value of the input variable into the function's equation and simplify.

Front

What is the y-intercept of a linear function?

Back

The y-intercept of a linear function is the point where the graph intersects the y-axis. It is the value of f(x) when x = 0.

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

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 can you determine if a function is increasing or decreasing?

Back

A function is increasing if the output values rise as the input values increase. It is decreasing if the output values fall as the input values increase.

Front

What is set notation?

Back

Set notation is a mathematical notation used to describe a set of numbers or values, often using symbols like { }, [ ], or ( ).

Front

How do you find the total distance traveled given a rate of change?

Back

To find the total distance traveled, identify the pattern in the rate of change and apply it to the total time to calculate the distance.

Front

What does it mean for a function to be constant?

Back

A constant function is a function that does not change; its output value remains the same regardless of the input value.