Question

The function f(x)=(a^x)+4 will never cross the x-axis.
A. True
B. False

Answer 1

That depends on the value of a.

Answer 2

It does not give a value, so what do I do?

Answer 3

Maybe look in your book. Often they define a positive non 1 for these sections and then talk about reflections.

i.e. my guess is that a is assumed to be a positive number not equal to 1.

Answer 4

What would you say the answer is?

Answer 5

Well. If we assume that a is positive. If we multiply a positive number by itself any amount of times we want, will it ever be negative or 0?

Answer 6

It will still be positive

Answer 7

ok and then you add 4 to that number.

Answer 8

so the thing is always positive.

Answer 9

Oh ok so it would be true

Answer 10

The base of an exponential function is usually defined to be positive.
The graph of an exponential function with a negative base is severely discontinuous.
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