Answer :
If the equation is [tex]y = 2\cdot 3^x[/tex] (2 times 3^x)
Then the answer is d. (0,2)
This is because plugging x = 0 leads to y = 2 as shown below
[tex]y = 2\cdot 3^x\\\\y = 2\cdot 3^0\\\\y = 2\cdot 1\\\\y = 2[/tex]
The equation of the function is an exponential function, and the point (0,2) lies on the function y = 2 * 3^x
What is an exponential function?
An exponential function is such that the variable is expressed as an exponent or power
The equation of the function is given as:
y = 2 * 3^x
Set x = 0.
So, we have:
y = 2 * 3^0
Evaluate the exponent
y = 2 * 1
Evaluate the product
y = 2
So, we have:
(x,y) = (0,2)
Hence, the point (0,2) lies on the function y = 2 * 3^x
Read more about exponential functions at:
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