171k views
3 votes
Which of the following functions is graphed below??

Which of the following functions is graphed below??-example-1
User Kirstine
by
8.6k points

2 Answers

6 votes
It should be B on my opinion
I hope this help you
User ConvexHull
by
8.1k points
4 votes

Answer:

The required piece-wise function is


f(x)=\begin{cases}x^3-3 & \text{ if } x\leq 2 \\ x^2+6 & \text{ if } x>2 \end{cases}

Explanation:

From the given graph it is clear that it is a piece-wise function because it is braked in two parts.

One part is defined for x≤2 and other part is defined for x>2 because left curve has closed circle at x=2 and right curve has open circle at x=2.

The y-intercept of the function is -3. From the given graph it is clear that the graph defined for x≤2 is a graph of cubic function that shifts 3 units down. So, the required function for x≤2.


f(x)=x^3-3

From the given graph it is clear that the right curve passes through the point (3,15) and moves towards (2,10).

The function
f(x)=x^2+6 satisfied by both the points. So, the required function for x>2.


f(x)=x^2+6

Therefore the required piece-wise function is


f(x)=\begin{cases}x^3-3 & \text{ if } x\leq 2 \\ x^2+6 & \text{ if } x>2 \end{cases}

User Peter Dang
by
7.8k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories