Identifying Linear Functions Flashcardizz

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not graph to a straight line and may include curves or other shapes.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a relation is a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the horizontal line test?

Back

The horizontal line test is used to determine if a function is one-to-one; if a horizontal line intersects the graph more than once, it is not one-to-one.

Front

Identify a linear function from the following: y = 2x + 3, y = x^2, y = -x + 5.

Back

y = 2x + 3 and y = -x + 5 are linear functions; y = x^2 is not.

Front

What is the slope-intercept form of a linear function?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of the function; it indicates how steep the line is.

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

Can a function have two outputs for one input?

Back

No, a function cannot have two outputs for one input; this would violate the definition of a function.