Linear vs exponential equations

Front

What is the general form of a linear equation?

Back

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

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

What is the general form of an exponential equation?

Back

An exponential equation can be expressed in the form y = ab^x, where a is a constant, b is the base, and x is the exponent.

Tags

CCSS.HSF.LE.A.2

Front

How can you identify a linear function from its graph?

Back

A linear function will produce a straight line when graphed.

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4

Front

How can you identify an exponential function from its graph?

Back

An exponential function will produce a curve that increases or decreases rapidly, depending on the base.

Tags

CCSS.HSF-IF.C.7E

Front

What is the difference between linear and exponential growth?

Back

Linear growth increases by a constant amount, while exponential growth increases by a constant percentage.

Front

What does the base in an exponential function represent?

Back

The base in an exponential function represents the factor by which the function's value multiplies for each unit increase in x.

Tags

CCSS.HSF.LE.B.5

Front

What is the y-intercept of a linear equation?

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 the domain of a linear function?

Back

The domain of a linear function is all real numbers.

Front

What is the domain of an exponential function?

Back

The domain of an exponential function is all real numbers.

Front

What is the range of a linear function?

Back

The range of a linear function is all real numbers.