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what is the value of the y intercept of the graph g(x)=73(4/5)x? algebra HELP

What Is The Value Of The Y Intercept Of The Graph Gx7345x Algebra HELP class=

Sagot :

Answer:

Answer is 73.

Step-by-step explanation:

[tex]73(\frac{4}{5} )^x[/tex]

To find y intercept set x = 0

[tex]73(\frac{4}{5} )^0[/tex] = [tex]73*1[/tex]

Y-intercept is 73

The y-intercept of the function f(x) = 73*(4/5)^x is y = 73.

How to get the y-intercept of a function?

For any function y = f(x), the y-intercept is the value of y that we get when we evaluate the function in x = 0.

In this case, our function is:

f(x) = 73*(4/5)^x

Evaluating this in zero we get:

f(0) = 73*(4/5)^0

Now, remember that any number with an exponent of 0 is equal to 1.

a^0 = 1.

Then:

f(0) = 73*(4/5)^0 = 73*1 = 73

Then the y-intercept of our function is y = 73.

If you want to learn more about y-intercepts, you can read:

https://brainly.com/question/1884491

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