Consider the relation y=x^3+2x^2-9x+18/x+3

a. create a table for this relation by evaluating for the given values of x

x -4 -3 -2 -1 0 1 2 3 4

y _ _ _ _ _ _ _ _ _ _

b is that relation a function why or why not

c what is the domain of the function? why?

a) .

Substitute all the values in the given relation.

The steps and table is attached below.

b) The relation is not a function.

Since the x =0 and x=3 has the same value. A relation is  function when each input has only exact one output. refer the on-to diagram uploaded.

c) The domain is the set of all input values that can be applied into a function y or f(x).

Here all the x values -4,-3,-,-1,0,1,2,3,4 [-4,4] is the domain.

number one is the correct answer

step-by-step explanation: dogs and cats are mentioned, no other animals

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form