Which characteristic is correct for the function f(x)=−2x^3+3x ?

Left ends is +ve infinity and Right end is -ve infinity. however both tends to be infinity.

Step-by-step explanation:

Let us under stand the basics of determining the end behavior of a graph , by just analyzing the degrees and coefficient of a polynomial.Please refer to the image we have shared with this for a better understanding also.

The rule is bifurcated in two broad category and and two sub category in them.

Category .

The nature of degree (Even / Odd )

Subcategory .

The coefficient of term containing degree ( Negative/Positive )

Rule 1 :

Degree : Even

If coefficient is

Rule 1(a) : Positive ⇒Both ends are towards +ve infinity

Rule 1(b) : Negative⇒Both ends are towards -ve infinity

Rule 2 :

Degree : Odd

If coefficient is

Rule 2(a) : Positive ⇒ Left ends is -ve infinity and Right end is +ve infinity

Rule 2(b) : Negative ⇒ Left ends is +ve infinity and Right end is -ve infinity

Let us see our function f(x) = now

Here

Degree is 3 which is Odd

Its coefficient is (-2) which is negative

Hence we go to rule 2(b)

That is the Left ends is +ve infinity and Right end is -ve infinity. however both tends to be infinity.

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )