Question

For the function defined by y = StartFraction 1 Over x squared EndFraction, if x is doubled, what is the effect on y?

a.
y is quartered
c.
y stays the same
b.
y is doubled
d.
y is tripled



Please select the best answer from the choices provided

Answer 1

If we double x, then the new value of x becomes 2x. So we can find the effect on y by substituting 2x for x in the given function.

y = 1/x^2

When x is replaced by 2x, we get:

y' = 1/(2x)^2

= 1/4x^2

Therefore, y' = (1/4)y

So, if x is doubled, then y is quartered (option a is the correct answer)

Answer 2

a. y is quartered.

Explanation:

y=1/x^2

when x is doubled, the equation becomes:

y=1/(2x)^2=1/(4x^2)