use the graph to complete the given statements. enter the letters a, b, c, or d in the boxes. the function…

use the graph to complete the given statements. enter the letters a, b, c, or d in the boxes. the function with the lowest output values as x approaches infinity is . the function with the greatest output values as x approaches infinity is .

use the graph to complete the given statements. enter the letters a, b, c, or d in the boxes. the function with the lowest output values as x approaches infinity is . the function with the greatest output values as x approaches infinity is .

Answer

Explanation:

Step1: Analyze the trend as x→∞

As (x) approaches infinity, we look at the right - hand side of the graph. Function (A) is a linear function with a positive slope, function (B) is a horizontal line, function (C) is a horizontal line below (B), and function (D) is an exponential - like function with a positive growth rate.

Step2: Determine the lowest output

As (x) approaches infinity, the horizontal line (C) has the lowest (y) - values among the four functions.

Step3: Determine the greatest output

As (x) approaches infinity, the exponential - like function (D) has the greatest (y) - values among the four functions since exponential functions (with a base greater than 1) grow faster than linear and constant functions.

Answer:

The function with the lowest output values as (x) approaches infinity is (C). The function with the greatest output values as (x) approaches infinity is (D).