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.

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.

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.

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.

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.

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.

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.

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).

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.