Respuesta :

See the graph

Explanation:

We need to graph the following function:

[tex]y=5(\frac{1}{2})^x+4[/tex]

So this is an exponential decay. Why do we know this? Because the function has the form:

[tex]f(x)=ab^x+k[/tex]

So since [tex]a>0 \ and \ b=1/2 \ less \ than \ 1[/tex] then the function is a decay. The graph is shown below.

Learn more:

Exponential function: https://brainly.com/question/10374556

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We have function:

[tex]y=5(\frac{1}{2} )^{x} +4[/tex]

The standard equation of the exponential function is :

[tex]y=a.b^{x}+c[/tex]

So, the given function is an exponential function .  

Since the function is a decay as [tex]b=\frac{1}{2}[/tex] here is less than 1.

We create the table for the given exponential function:

x       0      4          8                -2

y        9      4.31     4.0195      24

Plotting these values we get the graph as shown below.

Learn more:https://brainly.com/question/13917934

Ver imagen yoodyannapolis