Throwback Thursday Warm-up

Front

What is Exponential Decay?

Back

Exponential decay is a decrease in a quantity that follows an exponential function, characterized by a constant percentage decrease over equal time intervals.

Front

What is Exponential Growth?

Back

Exponential growth is an increase in a quantity that follows an exponential function, characterized by a constant percentage increase over equal time intervals.

Front

What is a Linear Function?

Back

A linear function is a function that graphs to a straight line, represented by the equation 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 of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.

Front

How do you determine if a slope is positive, negative, zero, or undefined?

Back

A positive slope rises from left to right, a negative slope falls from left to right, a zero slope is horizontal, and an undefined slope is vertical.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is of the form x = a, where 'a' is a constant.

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is of the form y = b, where 'b' is a constant.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0, represented by the constant 'b' in the equation.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope of the line is 2.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as the x-value increases, the y-value also increases.