Question

Which graph represents the function f(x) = 4⌈x⌉?

Answer 1

$\huge\fbox\red{Solution :}$

The graph of rectangular hyperbola represents the function f(x)=4/x.

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Answer 2

Answer:

Step-by-step explanation:

Given that,

Which graph represents the function f(x) = 4⌈x⌉?

Now,

to represent the graph of Y = 4 IxI.

So,

Taking x = 1, we get

Y = 4 IxI

Y = 4 I1I

Y = 4 .

Taking x = 2, we get

Y = 4 IxI

Y = 4 I2I

Y = 8

Taking x = 3, we get

Y = 4 IxI

Y = 4 I3I

Y = 12.

Taking x = -1, we get

Y = 4 IxI

Y = 4 I-1I

Y = 4×1

Y = 4.

Taking x = -2, we get

Y = 4 IxI

Y = 4 I-2I

Y = 4×2

Y = 8.

Taking x = -3, we get

Y = 4 IxI

Y = 4 I-3I

Y = 4×3

Y = 12

Property of modulus function -

IxI = x , where x is positive or negative

I-xI = x.

Therefore, from the above data we have drawn a graph of function f(x) = 4ixI.

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