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Exponential Growth Functions

Question 3 • CA-Mathematics I

Graph: f(x)=4xf(x)= 4^x | Steps: Step 1: Calculate the initial value of the function. | Step 1: | Step 2: Plot the initial value of the function at (0, 1). | Step 2: | Step 3: Evaluate the function at two more points. | Step 3: | Step 4: Plot the points (1, 4) and (−1, 1/4). | Step 4: | Step 5: Identify the horizontal asymptote of the function. | Step 5: | [(–1) =]

Answer
A
1/4
B
1
C
4

Explanation

The function is f(x) = 4^x. Substitute x = −1: f(−1) = 4^(−1) = 1/4, since a negative exponent means take the reciprocal. Therefore, the value is 1/4.

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