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For each graph determine the following

For each graph determine the following-example-1
User Stradivari
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2 Answers

2 votes


{ \qquad\qquad\huge\underline{{\sf Answer}}}

Let's solve ~

Here, for some values of x, we have more than one value of y. so we can conclude that it's not a function.

or

Draw vertical lines all over the graph, if the vertical lines cut the curve once then it is a function, and if more than once then it isn't a function.

Since the lines cut the curve more than once, it isn't a function

Domain :


\qquad \sf  \dashrightarrow \: ( 1 , 5 )

Range :


\qquad \sf  \dashrightarrow \: (-4 , 4)

Y - intercept :

It doesn't cut y - axis, so it doesn't have y - intercept

Zeros :

The values of x at which the curve cuts the x - axis are the zeros.

  • In the given graph zero is 1

Value of F (3) = ?

If we plug the x - coordinate as 3, it has two y - coordinates : -2 and 2

So, F (3) = - 2 and 2

User Jameshfisher
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3 votes

Answer + Step-by-step explanation:

• is it a function?

No , because f(2) = 1 and f(2) = -1

• Domain :

[1 , 5]

• Range :

[-4 , 4]

• y-intercept :

It doesn’t have y-intercepts ,because the graph doesn’t cross the y-axis.

• Zero :

x = 1 ,because f(1) = 0

• f(3) = ± 2

User Ohumeronen
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