Mega Practice: Linear Vs Exponential

Front

What is a linear function?

Back

A linear function is a function that creates a straight line when graphed. It has the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is an exponential function?

Back

An exponential function is a function in which an independent variable is in the exponent. It has the form y = a * b^x, where a is a constant, b is the base, and x is the exponent.

Front

How do you identify a linear equation?

Back

A linear equation can be identified by its constant rate of change, meaning it adds or subtracts the same value for each step in the x-direction.

Front

How do you identify an exponential equation?

Back

An exponential equation can be identified by its variable being in the exponent, leading to growth or decay that accelerates over time.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is y = mx + b.

Front

What is the general form of an exponential equation?

Back

The general form of an exponential equation is y = a * b^x.

Front

What does the slope (m) represent in a linear function?

Back

The slope (m) represents the rate of change of the function, indicating how much y changes for a unit change in x.

Front

What does the base (b) represent in an exponential function?

Back

The base (b) represents the growth factor in an exponential function, indicating how much the function multiplies for each unit increase in x.

Front

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

Front

What is a characteristic of linear growth?

Back

Linear growth is characterized by a constant addition of the same amount over equal intervals.