Question

13 mark for review for x > 0, the function f is defined as follows: f(x) equals 201% of x which of the following could describe this function? a decreasing exponential b decreasing linear c increasing exponential d increasing linear

Explanation:

Step1: Convert percentage to decimal

201% of \( x \) means \( f(x) = \frac{201}{100}x = 2.01x \).

Step2: Analyze the function type

The function \( f(x) = 2.01x \) is in the form \( y = mx + b \) (here \( b = 0 \)) where the slope \( m = 2.01>0 \). A linear function with a positive slope is increasing. Since the exponent of \( x \) is 1 (not a variable in the exponent), it's linear, not exponential.

Answer:

D. Increasing linear