Question

activity - comparing linear and non-linear functions

pair the answers.

graph - property

cubic function | linear function
quadratic function | maximum of three roots
no roots | slope
maximum of two roots | exponential function: y = 2^x

Explanation:

Match Linear Function properties

Using the Linear Equations and Slope of a Linear Function knowledge points

$$ \text{Linear Function} ightarrow \text{Slope} $$

Match Quadratic Function properties

Using the Quadratic Equations knowledge point

$$ \text{Quadratic Function} ightarrow \text{Maximum of two roots} $$

Match Cubic Function properties

A cubic polynomial function of degree 3 can have at most 3 real roots.

$$ \text{Cubic Function} ightarrow \text{Maximum of three roots} $$

Match Exponential Function properties

Using the Exponential Functions knowledge point

$$ y = 2^x > 0 \implies \text{No roots} $$

Answer:

Graph	Property
Quadratic Function	Maximum of two roots
Cubic Function	Maximum of three roots
Exponential Function: \(y = 2^x\)	No roots