Two Functions Comparison

1
advanced-math

The graph shows two functions. Which statement is true?

A

Both are exponential

B

The red curve is linear, blue is exponential

C

The blue curve is linear, red is exponential

D

Both are linear

Correct Answer: C

Choice C is the correct answer. Identify the curve shapes.

  1. Blue Curve: Straight line → Linear function.
  2. Red Curve: Curved, getting steeper → Exponential growth.
  3. Key Difference: Linear has constant slope, exponential has increasing rate of change.

💡 Strategic Tip: Exponential graphs curve sharply upward (growth) or downward (decay), while linear graphs are straight lines.

Choice A is incorrect because one curve is clearly straight (linear). Choice B is incorrect because it reverses which curve is which. Choice D is incorrect because the red curve is not straight.