NC Check In #2 Review

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line. It can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line. Its graph can be a curve or any shape that is not a straight line.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input. In other words, for every x-value, there is one and only one y-value.

Front

What is not a function?

Back

A relation is not a function if at least one input is associated with more than one output.

Front

How can you determine if a table of values represents a function?

Back

A table of values represents a function if each x-value is unique and does not repeat.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

What is the y-intercept?

Back

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

Front

How do you find the equation of a line given two points?

Back

To find the equation of a line given two points, first calculate the slope (m) using the formula m = (y2 - y1) / (x2 - x1). Then use the point-slope form y - y1 = m(x - x1) to find the equation.

Front

What is the difference between a linear equation and a nonlinear equation?

Back

A linear equation can be written in the form y = mx + b and graphs as a straight line, while a nonlinear equation cannot be expressed in this form and graphs as a curve.

Front

What does it mean for a graph to be nonlinear?

Back

A graph is nonlinear if it does not form a straight line, indicating that the relationship between the variables is not constant.