Question

HELP PLEASE!

Answer 1

Answer:

The function $a)f(x)=5(\frac{5}{2})^{x}$ is which is represented by the graph shown.

Step-by-step explanation:

As the graph is depicted in the interval (-1, 10), you should give values  to each function within this interval to know which is the correct function.

1. When x=0, as any number raised to zero gives one, all functions will have the value 5 as a result

$a)f(x)=5(\frac{3}{5})^{0}\\f(x)=5(1)\\f(x)=5$

$b)f(x)=5(\frac{5}{2})^{0}\\f(x)=5(1)\\f(x)=5$

$c)f(x)=5(\frac{2}{5})^{0}\\f(x)=5(1)\\f(x)=5$

$d)f(x)=5(\frac{5}{3})^{0}\\f(x)=5(1)\\f(x)=5$

2. When x=1

$a)f(x)=5(\frac{3}{5})^{1}\\f(x)=5(\frac{3}{5})\\f(x)=3$

$b)f(x)=5(\frac{5}{2})^{1}\\f(x)=\frac{25}{2}$

$c)f(x)=5(\frac{2}{5})^{1}\\f(x)=5(\frac{2}{5})\\f(x)=2$

$d)f(x)=5(\frac{5}{3})^{1}\\f(x)=5(\frac{5}{3})\\f(x)=\frac{25}{3}$

You could continue giving values to x to find the other values that the function takes but it is not necessary because as you can see the only function that gives the value f(x)=2 when x=1 is the third one, therefore the function $a)f(x)=5(\frac{5}{2})^{x}$ is which is represented by the graph shown.

Answer 2

Hello there,

The table below explain's how "f(x)=5(3/5)^x" is the correct answer.

I hope this helps you!

~Jurgen