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 for a function to be positive over an interval?

Back

A function is positive over an interval if its output values (y-values) are greater than zero for all input values (x-values) in that interval.

Front

What is the range of a function graphed on a coordinate plane?

Back

The range is the set of all y-values that the function takes on, often determined by the lowest and highest points on the graph.

Front

What does the slope of a linear function represent?

Back

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

Front

What is the DOMAIN of a function?

Back

The DOMAIN of a function is the set of all possible input values (x-values) that the function can accept.

Front

How do you determine the range of a linear function?

Back

To determine the range of a linear function, identify the minimum and maximum y-values that the function can achieve based on its graph.

Front

What is a linear function?

Back

Front

What does a flat rate in a function represent?

Back

A flat rate in a function represents a constant amount added to the total cost, regardless of the variable input.

Front

What is the significance of the y-intercept in a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, representing the output value when the input is zero.

Front

How do you interpret the slope in a real-world context?

Back

The slope can be interpreted as the cost per unit, speed, or any other rate of change relevant to the situation being modeled.