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krok68 [10]
3 years ago
14

Graph y=x^3 + 6x^2 + 8x and describe the end behavior

Mathematics
2 answers:
Nikitich [7]3 years ago
8 0
I can't really graph this for you but here's some points.

(X, Y):  (-4, 0), (-3, 3), (-2, 0), (-1, -3), (0,0)

Here's the end behavior:

x⇒∞, y⇒∞
x⇒-∞, y⇒-∞
shepuryov [24]3 years ago
8 0

Given function: y=x^3 + 6x^2 + 8x

In order to graph it, let us find some coordinates for the given function to plot on graph.

Let us find the x-intercepts first by setting given function equal to 0.

x^3 + 6x^2 + 8x =0.

Factoring out x.

x(x^2+6x+8) = 0

Factoring quadratic x^2 +6x +8, we get

x(x+2)(x+4) =0

Applying zeros product rule, we get

x =0

x+2 = 0  => x = -2

x+4 =0  => x = -4.

Therefore, we got x-intercepts (0,0), (-2,0) and (-4,0).

Because degree is 3 and leading coefficient a positive number, the graph would go down on the left and go up on the right.

From the graph we can see end behaviour:

<h2>x⇒∞, y⇒∞</h2><h2>x⇒-∞, y⇒-∞ </h2>

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Write the equation in y=mx+b form please????
Solnce55 [7]

ANSWER

y =  - 2x - 5

EXPLANATION

We can use any two points to determine the slope.

The line passes through;

(-3,1) and (-5,5).

The slope is given by

m =  \frac{y_2-y_1}{x_2-x_1}

This implies that;

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y   - 1 =  - 2(x  + 3)

Expand:

y =  - 2x -6 + 1

y =  - 2x - 5

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Answer:

The GCF is going to be 20

Step-by-step explanation:

This Is how I find the GCF of 2 numbers. I find the prime factorization first, then I find the common factors and multiply them. Here

The prime factorization of 20, 2 × 2 × 5= 20

The prime factorization of 80, 2 × 2 × 2 × 2 × 5 = 80

The common factors are 2, 2, and 5. We multiply those to get the GCF.

2 × 2 × 5 = 20

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