Find the difference quotient for the following function.

Step-by-step explanation:

Step 1: Define

Difference Quotient:

f(x) = -x² - 3x + 1

f(x + h) means that x = (x + h)

f(x) is just the normal function

Step 2: Find difference quotient

Hey there!

We know that formula for the difference quotient is [ ]

We need to find f(x + h), so use (x + h) instead of x.

f(x + h) → -(x + h)² because we are given [ -x² ]

-3(h + x) + 1 because we are given [ -3x + 1 ]

Put what we found into the formula and simplify.

Therefore, the difference quotient for the given function is [ -h - 2x - 3 ]

Best of Luck!

1: -2 3/4, -2 1/2, -14, 0, 3, 8 1/3

2: -4, -3, -2 1/2, -2 1/4, 3 1/4,

step-by-step explanation:

the two may have that, even a breakdown is probably offered