I wrote the domain and range in interval notation, not sure if that’s how you’re asked to do it. This is how I was taught to state the domain/range of a graph.
QUESTION IS ATTACHED BELOW. PLEASE SHOW FULL SOLUTIONS. WILL MARK BRAINLIEST. THANKS. EXPLAIN WHY YOU CHOSE THAT OPTION.
2 answers:
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Answer:
(a)
(b)
(c)
Step-by-step explanation:
The Euclidean algorithm is an efficient method for computing the greatest common divisor of two integers, without explicitly factoring the two integers.
The Euclidean algorithm solves the problem:
<em> Given integers </em><em>, find </em>
<em />
Here is an outline of the steps:
- Let
,
.
- Given
, use the division algorithm to write
.
- If
, stop and output
; this is the gcd of
.
- If
, replace
by
. Go to step 2.
The division algorithm is an algorithm in which given 2 integers N and D, it computes their quotient Q and remainder R.
Let's say we have to divide N (dividend) by D (divisor). We will take the following steps:
Step 1: Subtract D from N repeatedly.
Step 2: The resulting number is known as the remainder R, and the number of times that D is subtracted is called the quotient Q.
(a) To find we apply the Euclidean algorithm:
The process stops since we reached 0, and we obtain .
(b) To find we apply the Euclidean algorithm:
The process stops since we reached 0, and we obtain .
(c) To find we apply the Euclidean algorithm:
The process stops since we reached 0, and we obtain .
The graph is attached and the answer to the function g(x) = (1/3)x²
Option A is the right answer.
<h3>What is a Function ?</h3>A function is a mathematical statement that relates a dependent variable and an independent variable.
It is given that
f(x) = x²
It has been asked to determine the equation of g(x)
It can be seen from the graph the the vertex is same just the graph is scaled.
The point (3,3) is of g(x) , when the value of y at at x =3 is 9
Therefore the scale factor is 1/3
And we can do trial and error on the basis of the options given ,
The graph is attached and the answer to the function g(x) = (1/3)x²
Option A is the right answer.
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