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Studdy Solution
STEP 1
1. The graphs represent exponential functions.
2. Graphs A and B show exponential growth, meaning the base of the exponential function is greater than 1.
3. Graphs C and D show exponential decay, meaning the base of the exponential function is between 0 and 1.
4. The x and y axes range from -7 to 7.
STEP 2
1. Identify characteristics of exponential growth and decay.
2. Determine the base of the exponential function for each graph.
3. Match each graph to its corresponding base.
STEP 3
Exponential growth occurs when the base . The graph rises from left to right.
Exponential decay occurs when the base . The graph falls from left to right.
STEP 4
Examine Graphs A and B for exponential growth. The curve should rise sharply, indicating a base greater than 1.
Examine Graphs C and D for exponential decay. The curve should fall, indicating a base between 0 and 1.
STEP 5
Estimate the steepness of the curves in Graphs A and B. A steeper curve suggests a larger base.
Estimate the steepness of the curves in Graphs C and D. A less steep curve suggests a base closer to 1.
STEP 6
Match each graph to its corresponding base based on the steepness and direction of the curve.
For exponential growth (Graphs A and B), assign bases greater than 1.
For exponential decay (Graphs C and D), assign bases between 0 and 1.
The bases for each graph should be identified based on the steepness and direction of the curves. Since the specific bases are not provided in the problem, this step involves estimation and matching based on visual characteristics.
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