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Find the equation of the exponential function represented by the table below

Find The Equation Of The Exponential Function Represented By The Table Below class=

Sagot :

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Answer:

[tex]y=4(4)^x[/tex]

Step-by-step explanation:

Exponential functions are represented in the form [tex]y=a(b)^x[/tex], where a is the initial value and b is the multiplier.

Here, we see that when x = 0, y = 4. This means that 4 is our initial value, or a. You can look at the a variable almost being like the y-intercept of a graph.

Next, we must solve for b. We can do 16 ÷ 4 to find the slope, or multiplier of this function, because 16 is 1 input x-value up from 0. 16 ÷ 4 = 4.

So, we now have all the needed variables, so we plug them into the formula

[tex]y=a(b)^x[/tex]

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