Question

3.) check the boxes that represent exponential functions.

Explanation:

Step1: Recall exponential function graph properties

Exponential functions have the form \( y = a^x \) (\( a>0, a
eq1 \)). Their graphs are smooth curves, not straight lines (linear) or parabolas (quadratic). They show exponential growth (\( a > 1 \)) or decay (\( 0 < a < 1 \)).

Step2: Analyze each graph

• First graph: Straight line (linear function, \( y = mx + b \)), not exponential.
• Second graph: Smooth curve increasing rapidly (exponential growth, \( a > 1 \)), matches exponential.
• Third graph: Parabola (quadratic function, \( y = ax^2 + bx + c \)), not exponential.
• Fourth graph: Horizontal line (constant function, \( y = k \)), not exponential.
• Fifth graph: Smooth curve decreasing (exponential decay, \( 0 < a < 1 \)), matches exponential.

Answer:

Check the boxes for the second and fifth graphs (the ones with the exponential - growth - like and exponential - decay - like curves respectively).