M1 - 2.6 Practice

Front

What is the y-intercept of the function y=3^x?

Back

The y-intercept is (0, 1).

Front

How do you determine the rate of change in a linear function?

Back

The rate of change is the slope of the line, calculated as the change in y divided by the change in x.

Front

What is the average rate of change of a function f from day d1 to day d2?

Back

It is calculated as (f(d2) - f(d1)) / (d2 - d1).

Front

Calculate the average rate of change of a function over the interval [-2, 0].

Back

The average rate of change is -3/2.

Front

What is the rate of change of the function y = 5x + 15?

Back

The rate of change is constant at 5.

Front

What does a non-linear function imply about its rate of change?

Back

A non-linear function has a rate of change that is not constant.

Front

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

Back

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

Front

How can you identify a linear function from its equation?

Back

A linear function can be identified by its equation in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does it mean if the average rate of change is negative?

Back

A negative average rate of change indicates that the function is decreasing over the interval.

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).