For the first question, x = 4
By looking at the graph and seeing which point crosses the y axis. This point will always have an x coordinate of zero.
For this case we must simplify the following expression:
Multiplying the numerator and denominator by
We rewrite:
By properties of powers we have that:
We rewrite, moving the exponent within the radical:
We can rewrite
We simplify:
We apply distributive property:
Simplifying we finally have:
Answer:
Answer:
Decrease
Step-by-step explanation:
The general form of exponential functions is · . If , or the base with the exponent, is bigger than 1, than the graph increases, experiencing growth. If the base is somewhere between 0 and 1, then the graph decreases, experiencing decay.
is a number in between 0 and 1, thus the graph would decrease.