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Set 8: Exponential Functions (Intermediate)

Explanation

Answer: C

The graph shows two functions. Which statement is true?

Two Functions Comparison

A.

Both are exponential

B.

The red curve is linear, blue is exponential

C.

The blue curve is linear, red is exponential

✓ Correct
D.

Both are linear

Detailed Explanation

Choice C is correct. 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.

Key Steps:

The correct answer is The blue curve is linear, red is exponential

Why others are wrong:
A: Choice A is incorrect and may result from a calculation error.
B: Choice B is incorrect and may result from a calculation error.
D: Choice D is incorrect and may result from a calculation error.

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