Exponential vs Linear Functions

The video tutorial explains how to identify exponential functions by examining their form, specifically looking for expressions of the form y = a^x. It analyzes several function examples, determining which are exponential based on the presence of an exponent. Functions A and D are identified as linear, while functions B and C are confirmed as exponential due to their structure.

What is the general form of an exponential function?

• y = a/x

• y = ax + b

• y = a * x

• y = a^x

Which of the following equations is NOT an exponential function?

• y = 2^x + 3

• y = 4x + 5

• y = 3^x

• y = 5 * 2^x

In the equation y = 3 * 2^x, what role does the number 3 play?

• It is an additive constant.

• It is the base of the exponent.

• It is a coefficient multiplying the exponential part.

• It is the exponent.

Which of the following is an exponential function?

• y = x^3

• y = -3x + 91

• y = 91 * (1/3)^x

• y = 3x + 91

What distinguishes an exponential function from a linear function?

• The presence of a constant term.

• The variable is in the exponent.

• The variable is multiplied by a constant.

• The function has a quadratic term.

Which equation represents a linear function?

• y = 91 * (1/3)^x

• y = 2^x

• y = 4 * 2^x

• y = 3x + 91

In the equation y = 91 * (1/3)^x, what is the base of the exponent?

• 3

• x

• 1/3

• 91