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.

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