4
QuizMultiple Choice

Exponential Growth Functions — Quiz

Question 4 • Mathematics I

Ramon is graphing the function f of x is equal to 3 times 4 to the x th power He begins by plotting the initial value. Which graph represents his initial step?

Answer
A
Image with description On a coordinate plane, the point 4 comma 0 is graphed.
B
Image with description On a coordinate plane, the point 0 comma 4 is graphed.
C
Image with description On a coordinate plane, the point 0 comma 3 is graphed.
D
Image with description On a coordinate plane, the point 3 comma 0 is graphed.

Explanation

The initial value is the function’s value when x = 0, so evaluate f(0). Since f(x) = 3 × 4^x, f(0) = 3 × 4^0 = 3 × 1 = 3. The initial point is therefore (0, 3), shown in choice B.

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