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3 years ago

Which of the following functions is graphed below?

Mathematics

2 answers:

velikii [3]3 years ago

7 0

Answer: The correct option is (D)

$y=\begin{array}{cc}\{ &\begin{array}{cc}x^2-4 & x\leq 1\\x^2+3 & x>1\end{array}\end{array}$

Step-by-step explanation: We are given to select the correct function that is graphed in the figure.

We have,

$\textup{If }y=x^2-4,\textup{ then }y(1)=1^2-4=1-4=-3,\\\\\textup{If }y=x^2+3,\textup{ then }y(1)=1^2+3=1+3=4.$

In the graph, there is closed hole at y = - 3, so y = - 3 (x = 1) is included.

Also, there is an open hole at y = 4, so y = 4 (x = 1) is excluded.

So, If y = x² - 4, then x will be greater than or equal to 1.

If y = x² + 3, then x will be less than 1.

Also,

$\textup{for }x\leq 1,~~y\leq x^2-4,\\\\\textup{for }x> 1,~~y> x^2+3.$

Therefore, the graphed function will be

$y=\begin{array}{cc}\{ &\begin{array}{cc}x^2-4 & x\leq 1\\x^2+3 & x>1\end{array}\end{array}$

Option (D) is the correct function.

ella [17]3 years ago

5 0

Answer:

Hi there!

Step-by-step explanation:

Is there anyway you can do a better picture of it please

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

(08.03 MC) The dot plot below shows the hourly rate of some babysitters in a city: Which statement best describes the shape of t

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Answer:

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Step-by-step explanation:

Given

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Answer:

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Step-by-step explanation:

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3 years ago