Which function is graphed below?

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Question:

Which function is graphed below?

The general basic exponential function is of the form,

The function has a intercept of

This point must satisfy equation (1). So let us do the substitution to obtain,

Now our equation 1 becomes

Also note that the graph passes through, , hence must also satisfy its equation. Substituting this point into equation (2), gives us

Equation (2) can be rewritten as;

Now let us substitute the value of into equation (3) to obtain,

Hence the correct answer is option B

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