The functions f(x) and g(x) are represented by the following table and graph. Compare the functions, and then answer the question. x f(x)
−4 11
−3 4
−2 −1
−1 −4
0 −5
1 −4
2 −1
3 4
4 11
A graph of an exponential function that approaches negative 5 to the left and increases to the right. It passes through the points (0, negative 4), (1, negative 1), and (2, 12).

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Which of the following statements are true?

There is more than one correct answer. Select all correct answers.

f(x) has a smaller minimum than g(x) over the interval −6≤x≤2, because g(x) will never intercept its asymptote.
g(x) has a horizontal asymptote at y=−6, so the minimum is −6.
f(x) has a minimum at −5, and it opens up to positive infinity.
g(x) goes to positive infinity in the negative domain, so there is no maximum value.
g(x) goes to positive infinity in the positive domain, so there is no maximum value.
f(x) has a larger maximum than g(x).
g(x) has a horizontal asymptote at y=−5, so the minimum is almost at −5 for any negative, noninfinite interval.
f(x) has the same minimum as g(x).