pls help me (i got this from khan academy) f(x)=(5x+1)(4x−8)(x+6)f, left parenthesis, x, right parenthesis, equals, left parenthesis, 5, x, plus, 1, right parenthesis, left parenthesis, 4, x, minus, 8, right parenthesis, left parenthesis, x, plus, 6, right parenthesis has zeros at x = − 6 x=−6x, equals, minus, 6, x = − 1 5 x=− 5 1 x, equals, minus, start fraction, 1, divided by, 5, end fraction, and x = 2 x=2x, equals, 2. What is the sign of f ff on the interval − 1 5 < x < 2 − 5 1

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tramserran tramserran · Answer 1 · 2020-07-20T21:55:04+02:00

Answer: Negative

Step-by-step explanation:

f(x) = (5x + 1)(4x - 8)(x + 6)

x = -1/5 x = 2 x = -6

Zeros (in order): -6, -1/5, 2

Now, let's look at the End Behavior of the function.

The leading coefficient is positive (5x)(4x)(x) = +20x³ so the right side of the graph goes toward positive infinity.

The Degree is odd (degree = 3) so the left side is opposite of the right side which means it goes toward negative infinity.

------o-------------o--------------o------

-6 -1/5 2

-- + -- +

y-values for -1/5 < x < 2 is NEGATIVE

jainveenamrata jainveenamrata · Answer 2 · 2022-07-26T09:26:41+02:00

The sign of the function f(x) = (5x + 1)(4x − 8)(x + 6) in the interval of -1/5 to 2 will be negative.

A statement, principle, or policy that creates the link between two variables is known as a function.

The function is given below.

f(x) = (5x + 1)(4x − 8)(x + 6)

The x-intercept of the function will be

(-6, 0), (-1/5, 0), (2, 0)

Then the sign of the function in the interval of -1/5 to 2 will be

Find the value of the function at x = 0, we have

f(x) = (5*0 + 1)(4*0 − 8)(*0 + 6)

f(x) = 1 x (-8) x 6

f(x) = -48

Thus, the value of the function at x = 0, is negative.

More about the function link is given below.

https://brainly.com/question/5245372

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