Which equation represents f(x)? f(x) = Negative RootIndex 3 StartRoot x EndRoot f(x) = Negative RootIndex 3 StartRoot x minus 1 EndRoot f(x) = Negative RootIndex 3 StartRoot negative x EndRoot minus 1 f(x) = Negative RootIndex 3 StartRoot negative x EndRoot

Option D is correct.

f(x) = -∛(-x)

f(x) = Negative RootIndex 3 StartRoot negative x EndRoot

Step-by-step explanation:

Complete Question

The graph shows the function f(x). On a coordinate plane, a cube root function goes through (8, 2). Which equation represents f(x)?

A) f(x) = Negative RootIndex 3 StartRoot x EndRoot,

B) f(x) = Negative RootIndex 3 StartRoot x minus 1 EndRoot

C) f(x) = Negative RootIndex 3 StartRoot negative x EndRoot minus 1

D) f(x) = Negative RootIndex 3 StartRoot negative x EndRoot

Solution

The options written in mathematical equation form, give

A) f(x) = -∛(x)

B) f(x) = -∛(x-1)

C) f(x) = [-∛(-x)] - 1

D) f(x) = -∛(-x)

- The curve is said to pass through (8, 2).

We can then investigate, which of these cube root functions satisfies this function. Which one has f(8) = 2. We take the options one at a time.

A) f(x) = -∛(x)

f(8) = -∛(8) = -2 ≠ 2

Hence, this option isn't correct.

B) f(x) = -∛(x-1)

f(8) = -∛(8-1) = -∛(7) = -1.913 ≠ 2

Hence, this option isn't correct.

C) f(x) = [-∛(-x)] - 1

f(8) = [-∛(-8)] - 1 = -(-2) - 1 = 2 - 1 = 1 ≠ 2

Hence, this option isn't correct.

D) f(x) = -∛(-x)

f(8) = -∛(-8) = -(-2) = 2 = 2

Hence, thus is the correct option.

Hope this Helps!!!

The answer is D

Step-by-step explanation:

I just took the quiz on Edge.

think about the doctor who treated the major and the speaker in the short story "in another country." put yourself in the shoes of the doctor, and based on what you read in the story, write what you think his thoughts about the major and the speaker would be. use the following vocabulary in your response and change the form of these words as needed: detached resign withered