What are the domain and range of the function f(x) = 3x + 5?

Mathematics

2 answers:

Sidana [21]3 years ago

7 0

Answer:

Step-by-step explanation:

Exponential functions are curves which approach a horizontal asymptote usually at y=0 or the x-axis. This function $3^x+5$ has been moved up 5 units so its asymptote is at y=5. This means the function never goes below 5 in its y-values.

The x values are not affected and all are in the function. This is the domain. So the domain is (-∞, ∞).

The y values are affected and are y > 5. This is the range and it is written

(5, ∞).

Option B is correct.

kicyunya [14]3 years ago

3 0

Answer:

correct answer is B

Step-by-step explanation:

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What is a polynomial

vfiekz [6]

A polynomial is a collection of terms that are separated by a plus or a minus sign. There a few types of polynomials.

Monomials have one term.
Binomials have two terms.
Trinomials have three terms.

All of these are classified as a polynomial.

Once you go over 3 terms, it's simply called a polynomial.

5 0

3 years ago

A vertical right circular cylindrical tank has height h=8 feet high and diameter d=6 feet. It is full of kerosene weighing 50 po

Mariana [72]

Answer:

The work done to pump all of the kerosene from the tank to an outlet is $W=45238.9\: J$

Step-by-step explanation:

The work is defined by:

$W=\int dFdx$ (1)

The force here will be the product between the volume and the kerosene weighing, so we have :

$dF=\pi R^{2}dy*50$

This force will be in-lbs.

Where R is the radius (3 feet)

Then using (1), we have:

$W=\int \pi R^{2}dy*50(8-y)$

Here 8-y is a distance at some point of the tank. Now, to get the work done from the base to the top of the tank we will need to take integral from 0 to 8 feet.

$W=\int_{0}^{8} \pi 3^{2}dy*50(8-y)$