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х
f(x
Which exponential function is represented by the
values in the table?
-2
AW
-1
3
2
O 3
f(x) = 3(2)
O f(x) = 2(2)
O f(x) = 3(34)
O f(x) = 2(3)
0
3
1
6
1
2
2
12

Х Fx Which Exponential Function Is Represented By The Values In The Table 2 AW 1 3 2 O 3 Fx 32 O Fx 22 O Fx 334 O Fx 23 0 3 1 6 1 2 2 12 class=

Sagot :

MrRoyal

Answer:

[tex]y = 3(2)^x[/tex]

Step-by-step explanation:

Given

The attached table

Required

Determine the exponential function

An exponential function is represented as:

[tex]y = ab^x[/tex]

From the table;

[tex](x,y)=(0,3)[/tex]

So:

[tex]y = ab^x[/tex]

[tex]3 = a * b^0[/tex]

[tex]3 = a * 1[/tex]

[tex]3 = a[/tex]

[tex]a = 3[/tex]

Also:

[tex](x,y) = (1,6)[/tex]

So:

[tex]y = ab^x[/tex]

[tex]6 = a * b^1[/tex]

[tex]6 = a * b[/tex]

Substitute [tex]a = 3[/tex]

[tex]6 = 3 * b[/tex]

Solve for b

[tex]b = 2[/tex]

So:

[tex]y = ab^x[/tex]

[tex]y = 3(2)^x[/tex]

raphealnwobi

The exponential function represented by the values is f(x) = 3(2)ˣ

Exponential function

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

From the table, at point (0, 3):

3 = ab°  

a = 3

At point (2, 12):

12 = ab²

12 = 3b²

b² = 4

b = 2

f(x) = 3(2)ˣ

The exponential function represented by the values is f(x) = 3(2)ˣ

Find out more on Exponential function at: brainly.com/question/12940982

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