Question

Which exponential function is represented by the graph?

f(x) = 2(3x)

f(x) = 3(3x)
f(x) = 3(2x)
f(x) = 2(2x)

Answer 1

c is your answer just took the test

Explanation:

Answer 2

f(x) = 3·2^x

Explanation:

When x=0, any exponential term will have a value of 1, so the y-intercept is the multiplier of the exponential function. Here, it is 3.

When x=1, the exponential term will have a value equal to its base, so the multiplier just found will be multiplied by the base value. Here, f(1) = 3·2, so the base of the exponential term is 2.

Given these considerations, the function is ...

... f(x) = 3·2^x

_____

Comment on notation

The caret (^) is used to signify an exponent. When the exponent consists of anything other than a single number or variable, it must be put in parentheses: 2^(1/2), for example.

The expressions you have written all look like linear functions.