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gogolik [260]
1 year ago
9

Can anyone tell me how you could describe this answer to the equation?

Mathematics
1 answer:
DanielleElmas [232]1 year ago
8 0

The end behavior of the given polynomial is that as x → -∞ or  x → ∞, then, f(x) → 5

<h3>What is the end behavior of the Polynomial?</h3>

We are given the polynomial;

f(x) = 5x/(x - 25)

Now, we want to find the limits as x → ±∞. Let us rearrange the given polynomial to get; f(x) = 5/(1 - (25/x))

Thus, applying limits we have;'

lim x → ±∞ [5/(1 - (25/x))]

From algebraic limit laws we know that;

If f(x) = k, then;

lim x → +∞ [f(x)] = k

Also, lim x → -∞ [f(x)] = k

Thus, applying limits at infinity to our polynomial gives;

lim x → ±∞ [5/(1 - (25/x))] = 5/(1 - 0) = 5

This is because lim x → ∞ for 1/x is 0.

Thus, f(x) has horizontal asymptotes at y = 5

Thus, we conclude that the end behavior is that as x → -∞ or  x → ∞, then, f(x) → 5

Read more about Polynomial End behavior at; brainly.com/question/20347699

#SPJ1

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r-ruslan [8.4K]

Answer:

im sry could u pls rewrite the expression?

Step-by-step explanation:

4 0
2 years ago
f(x) is a quadratic function with x-intercepts at (−1, 0) and (−3, 0). If the range of f(x) is [−4, [infinity]) and g(x) = 2x^2
iren2701 [21]

Answer with Step-by-step explanation:

We are given that function f(x) which is quadratic function.

x -intercept of function f(x) at (-1,0) and (-3,0)

x-Intercept of f means zeroes of f

x=-1 and x=-3

Range of f =[-4,\infty)

g(x)=2x^2+8x+6=2(x^2+4x+3)

g(x)=0

2(x^2+4x+3)=0

x^2+4x+3=0

x^2+3x+x+3=0

x(x+3)+1(x+3)=0

(x+1)(x+3)=0

x+1=0\implies x=-1

x+3=0\implies x=-3

Therefore, x-intercept of g(x) at (-1,0) and (-3,0).

Substitute x=-2

g(-2)=2(-2)^2+8(-2)+6=8-16+6=-2

g(x)=2(x^2+4x)+6

g(x)=2(x^2+2\times x\times 2+4-4)+6=2(x^2+2\times x\times 2+4)-8+6

g(x)=2(x+2)^2-2

By comparing with the equation of parabola

y=a(x-h)^2+k

Where vertex=(h,k)

We get vertex of g(x)=(-2,-2)

Range of g(x)=[-2,\infty)

Zeroes of f and g are same .

But range of f and g are different.

Range of f contains -3 and -4 but range of g does not contain -3 and -4.

f and g are both quadratic functions.

3 0
3 years ago
Write a multiplication equation using one whole number and one fraction that have a product of 18/8
Digiron [165]

Answer:

whole number = 8

fraction = 1/8

1/8 * 18 = 18/8

Step-by-step explanation:

fraction times a whole number = 18/8

1/8 * 18 = 18/8

6 0
2 years ago
Peaches are being sold for $2 per pound. if x represents the number of pounds of peaches bought and y represents the total cost
hichkok12 [17]
The correct answer to this question is the fourth statement. <span> The value of x can be any real number greater than or equal to 0, but the value of y must be an integer greater than or equal to 0.</span>
4 0
3 years ago
Read 2 more answers
I can't quite figure out what ( 7- 4n ) x 6 is with distributive property.
Tema [17]

Answer:

(42-24n)

Step-by-step explanation:

(7-4n)×6

take the 6 and multiply it to the integers in the paraenthesis.

so you take the ouside number which is 6 and multiply it with the first number which is 7 in the paraenthesis.

6×7=42

(42-4n)

then take the next number 4n and multiply by 6

4n × 6 = 24n

finally put it all together

(42-24n)

sorry if that didnt help

7 0
3 years ago
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