Set 10: Exponential Functions (Intermediate)
Explanation
Which graph corresponds to ?

A line with slope 3.
A curve starting at 2 and increasing rapidly.
A curve starting at 2 and decreasing towards 0.
A curve starting at 3 and increasing.
Detailed Explanation
Choice B is correct. Choice B is the correct answer. Analyze the features of the function. 1. Initial Value: , so y-intercept is 2. 2. Growth/Decay: , so it is increasing (growth). 3. Shape: Exponential growth curves up rapidly. Strategic Tip: Growth curves go up to the right. Decay curves go down to the right. Choice A is incorrect because it is not linear. Choice C is incorrect because it represents decay. Choice D is incorrect because the y-intercept is 2, not 3.
Key Steps:
The correct answer is A curve starting at 2 and increasing rapidly.
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