Comparing Linear, Quadratic, and Exponential Functions

The video tutorial summarizes linear, quadratic, and exponential functions. Linear functions are characterized by a constant rate of change and a straight-line graph. Quadratic functions form a parabola with a vertex and have a consistent second difference. Exponential functions exhibit rapid growth or decay, with a common ratio and a horizontal asymptote. The tutorial explains how to identify these functions through graphs, equations, and tables of values.

What is the shape of the graph of a linear function?

• A curve

• A straight line

• A circle

• A parabola

What is the highest degree of a linear function?

• 2

• 0

• 3

• 1

How can you identify a linear function from a table of values?

• By checking for a variable exponent

• By checking for a common second difference

• By checking for a common first difference

• By checking for a common ratio

What is the shape of the graph of a quadratic function?

• A parabola

• A straight line

• A hyperbola

• A circle

What is the highest degree of a quadratic function?

• 4

• 3

• 2

• 1

What is a key feature of the table of values for a quadratic function?

• Common ratio

• Common second differences

• Common first differences

• Constant rate of change

What is the shape of the graph of an exponential function?

• A curve that grows or decays quickly

• A straight line

• A parabola

• A circle

What is a key feature of the table of values for an exponential function?

• Common first differences

• Constant rate of change

• Common second differences

• Common ratio or multiplier

What is the end behavior of an exponential function?

• Both ends are horizontal

• One end goes up and the other goes towards the asymptote

• Both ends go down

• Both ends go up

How can you identify an exponential function from its equation?

• It has a variable exponent

• It has a constant rate of change

• It has a highest degree of 2

• It has a common first difference