Question

Identify intervals on which the function is increasing, decreasing, or constant. g(x) = 4 - (x - 6)2 (5 points)

Answer 1

g(x) is always decreasing

Explanation:

Step 1: Distribute

g(x) = 4 - (2x - 12)

g(x) = 4 - 2x + 12

Step 2: Combine like terms

g(x) = -2x + 16

Since the line is linear and has a negative slope, it will always decrease when you input either a positive or negative x value. The output y will go lower.