Question

on a piece of paper, graph f(x) = 2 • (3)^x. then determine which answer choice matches the graph you drew

Answer 1

I would make a table and plug in values for "x" in the equation to find f(x) or y

x = 0

$f(x)=2*(3)^x$

$f(0)=2*(3)^0$(there is a rule that when the exponent is 0, the result is 1)

$f(0)=2*1$

f(0) = 2                   (0,2)

x = 1

$f(x)=2*(3)^x$

$f(1)=2*(3)^1$

$f(1)=2*3$

f(1) = 6        (1,6)

You could do more points.

But these two points shows that the y-intercept (the y value when x = 0 or (0,y)) is 2, and that the graph is increasing.

Your answer is B

Answer 2

Graph B matches with the function.

What are functions?

A relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

How to know which answer choice matches the graph ?

The given function is  f(x) = 2 ($(3)^{x}$)

• As ($(3)^{x}$) is always a positive number for any value of x, the given function can never be negative.

So, option C is wrong

Again,

• As the value of x increases, the value of y also increases which contradicts option D.

So, option D is also wrong.

Now,

• If x = 0,  we get y = 2

So, option A is wrong

Hence option B is correct which also satisfies all the conditions mentioned above.

Find out more about "Functions and graphs" here: https://brainly.com/question/4025726

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