Question

When writing the range for the quadratic
parent function we use a bracket next to
infinity. Why do we use parenthesis next to
zero for the range of the exponential parent
function?

Answer 1

the value y = 0 does not belong to the range, that is why we need to use parenthesis next to the range.

Why do we use parenthesis next to zero for the range of the exponential parent function?

When we write in interval notation, the parenthesis are used to denote that the "ends" of the interval don't belong to the interval.

This means that in (a, b).

a and b don't belong to that interval.

While if instead we wrote [a, b]

In that case, a and b belong.

For the case of the exponential function:

y = a^x

As x tends to really large negative values, the value of y will tend to zero asymptotically. This means that y is really close to zero, but it is never equal to zero.

Then the value y = 0 does not belong to the range, that is why we need to use parenthesis next to the range.

If you want to learn more about interval notation:

https://brainly.com/question/4307772

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