The exponential function
The general form of the exponential function is:
[tex]f(x)=a\cdot b^x+c[/tex]
Where b is the ratio of growth or decay of the function.
The function can be identified as a growing or decaying trend according to:
* If b is greater than 1, the function is growing
* If b is less than 1, the function is decaying.
Now let's analyze the given functions:
A)
[tex]y=2^x+3[/tex]
The ratio of this function is b=2, thus the function is growth.
B)
[tex]y=(\frac{1}{3})^x-1[/tex]
Here, the value of b is 1/3 and it's less than 1, thus the function is decay.
C)
[tex]y=(0.5)^x^{}[/tex]
Here, the value of b is 0.5 and it's less than 1, thus the function is decay
Answer:
A) Growth
B) Decay
C) Decay
