Comparing Functions

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 function's output changes with respect to its input.

Tags

CCSS.HSF-LE.A.1B

Front

What does a positive slope indicate on a graph?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, showing a direct relationship.

Tags

CCSS.8.EE.B.5

Front

What is the initial value in a linear equation?

Back

The initial value is the y-intercept of the equation, which is the value of y when x is 0.

Tags

CCSS.HSF-IF.C.7A

Front

How do you identify a non-linear function?

Back

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

Tags

CCSS.HSF-LE.A.1B

Front

What does a zero slope indicate on a graph?

Back

A zero slope indicates that the function is constant; there is no change in y as x changes.

Tags

CCSS.8.EE.B.5

Front

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

Back

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

Front

How can you determine which function has the greatest initial value?

Back

Compare the y-intercepts of the functions; the function with the highest y-intercept has the greatest initial value.

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Front

What does a negative slope indicate on a graph?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing an inverse relationship.

Tags

CCSS.8.EE.B.5

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line, defined by the equation y = mx + b.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2