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Greeley [361]
3 years ago
13

HELP PLEASE!

Mathematics
2 answers:
sweet-ann [11.9K]3 years ago
4 0

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.

sweet-ann [11.9K]3 years ago
3 0
Hello there,

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

I hope this helps you!

~Jurgen

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