Question

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Answer 1

Answer:

Find the value and the area, of x and y.

To find the x- and y-intercepts of the graph of the function:

y

=

f

(

x

)

=

√

x

2

−

16

x

−

intercept:

y

=

0

:

y

=

f

(

x

)

=

√

x

2

−

16

=

0

x

2

−

16

=

0

x

2

=

16

x

=

±

4

y

−

intercept:

x

=

0

:

⟹

y

=

f

(

0

)

=

√

0

−

16

=

0

⟹

y

=

√

−

16

=

(imaginary quantity)

Hence, there is no intercept on  

y

−

axis

Thus, only the  

x

−

intercepts:

x

=

−

4

,

4