Unit 4 Retest

Front

What is the rate of change in a linear function?

Back

The rate of change in a linear function is the slope, which represents the constant rate at which the dependent variable changes with respect to the independent variable.

Front

Define RANGE in the context of functions.

Back

The RANGE of a function is the set of all possible output values (y-values) that the function can produce based on its domain.

Front

What is a linear regression equation?

Back

A linear regression equation is a mathematical representation of the relationship between two variables, typically in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find f(0) for a function f(x)?

Back

To find f(0), substitute 0 for x in the function and simplify to get the output value.

Front

What does the slope of a linear equation represent?

Back

The slope of a linear equation represents the rate of change of the dependent variable with respect to the independent variable.

Front

What is the formula for calculating the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

How can you predict values using a linear regression equation?

Back

You can predict values by substituting the desired x-value into the linear regression equation and solving for y.

Front

What does it mean if a function is non-linear?

Back

A non-linear function does not have a constant rate of change; its graph is not a straight line.

Front

What is the difference between domain and range?

Back

The domain is the set of all possible input values (x-values) for a function, while the range is the set of all possible output values (y-values).