Answer: Option D: R = {3, 9, 12}
Step-by-step explanation:
The range of a function is the set of the possible outputs of a function:
if we have the function f(x) = y, the values of x are the domain, and the values of y are the range.
In the image, the set at the right is the output, so the set in the right is the range.
such that we have the pairs (-2,3) (2, 3) (3, 9) (4, 12)
So the range will be R = {3, 9, 12}
Answer:
You must first divide 3 from both sides.
Step-by-step explanation:
Whenever you solve an equation such as this you are always trying to isolate the variable that is given. In this case we are arriving at the value of d alone.
3d = -81
d = -27
Hope this helps!
In order to use the remainder theorem, you need to have some idea what to divide by. The rational root theorem tells you rational roots will be from the list derived from the factors of the constant term, {±1, ±5}. When we compare coefficients of odd power terms to those of even power terms, we find their sums are equal, which means -1 is a root and (x +1) is a factor.
Dividing that from the cubic, we get a quotient of x² +6x +5 (and a remainder of zero). We recognize that 6 is the sum of the factors 1 and 5 of the constant term 5, so the factorization is
... = (x +1)(x +1)(x +5)
... = (x +1)²(x +5)
_____
The product of factors (x +a)(x +b) will be x² + (a+b)x + ab. That is, the factorization can be found by looking for factors of the constant term (ab) that add to give the coefficient of the linear term (a+b). The numbers found can be put directly into the binomial factors to make (x+a)(x+b).
When we have 1·5 = 5 and 1+5 = 6, we know the factorization of x²+6x+5 is (x+1)(x+5).
I think is Y=5x+20
Hope you get it right!
:D
