Which graph represents y = RootIndex 3 StartRoot x minus 5 EndRoot? On a coordinate plane, a cubic function has a point of inflection at x = 0 and crosses the x-axis at x = 5. On a coordinate plane, a cubic function has a point of inflection at x = negative 5 and crosses the x-axis at x = 2. On a coordinate plane, a cubic function has a point of inflection at y = negative 5 and crosses the x-axis at y = negative 5. On a coordinate plane, a cubic function has a point of inflection at x = 5 and crosses the x-axis at x = 5.

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amna04352 amna04352 · Answer 1 · 2020-04-13T13:42:43+02:00

Answer:

On a coordinate plane, a cubic function has a point of inflection at x = 5 and crosses the x-axis at x = 5.

Step-by-step explanation:

y = (x - 5)^⅓

Cuts the x-axis at:

0 = (x - 5)^⅓

x = 5

Cuts the y-axis at:

y = (0 - 5)^⅓

y = cuberoot(5)

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facundo3141592 facundo3141592 · Answer 2 · 2022-04-15T12:23:23+02:00

The graph is: On a coordinate plane, a cubic function has a point of inflection at x = 5 and crosses the x-axis at x = 5

Here we have the function:

y = ∛(x - 5)

So we have a cubic root.

Notice that when x = 0, we have:

y = ∛-5, this is the y-intercept

And when x = 5 we have:

y = ∛0 = 0 This is the x-intercept, and also the inflection point because here we have the change of sign.

Then the option that correctly describes the graph is the last one:

"On a coordinate plane, a cubic function has a point of inflection at x = 5 and crosses the x-axis at x = 5"

If you want to learn more about cubic functions, you can read:

https://brainly.com/question/20896994