Question

Which of the following is true with respect to the following functions: f(x) = 3|x+14 | g(x)= x³ + 3x-14 h(x)=3* +1 i(x) = log4(x - 1) OA. All four functions have curves. OB. g(x) is the only function whose graph has end behaviors that go in the same direction. O C. The graphs of g(x) and f(x) both have end behaviors that go in the same direction. OD. (x) is the only function with a horizontal asymptote.​

Answer 1

The answer choice which represents a true statement with respect to the functions is; Choice C; The graphs of g(x) and f(x) both have end behaviors that go in the same direction.

Which statement is true about the functions?

It follows from the task content that the functions given are;

f(x) = 3|x+14|

g(x)= x³ + 3x-14

h(x)=3*x +1

i(x) = log4(x - 1).

From the functions given above, it follows that the range of f(x) is all positive real numbers and has an ending behaviour as function g(x) as their ending behaviour indicates ascending slope (positiv slope).

Hence, The graphs of g(x) and f(x) both have end behaviors that go in the same direction.

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