The exponential function [tex]f(x)=4\dfrac {1} {2}}^x[/tex] represents all the values of x given in the table.
The value of x is given in the attachment.
All the values given in the table satisfied the function 3.
[tex]f(x)=4\dfrac {1} {2}}^x[/tex]
For values of x from -2 to 2, exponential function would be given below.
For x = -2.
[tex]f(x)=4\times(\dfrac{1}{2})^{(-2)} \\f(x)=16\\[/tex]
For x = -1.
[tex]f(x)=4\times(\dfrac{1}{2})^{(-1)} \\f(x)=8\\[/tex]
For x = 0.
[tex]f(x)=4\times(\dfrac{1}{2})^{(0)} \\f(x)=1\\[/tex]
For x = 1.
[tex]f(x)=4\times(\dfrac{1}{2})^{(1)} \\f(x)=2\\[/tex]
For x = 2.
[tex]f(x)=4\times(\dfrac{1}{2})^{(2)} \\f(x)=4[/tex]
Hence the exponential function [tex]f(x)=4\dfrac {1} {2}}^x[/tex] represents all the values of x given in the table.
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https://brainly.com/question/2456547
