Question

Which of the following is true with respect to the following functions:f(x) = 3] x + 14 | g(x)= x4 + 3x2 - 14h(x) = 3% +1i(x) = log2 (x + 1)

Answer 1

To answer the question, let us plot the graphs of all the functions.

f(x):

$f(x)=3|x+14|$

g(x):

$g(x)=x^4+3x^2-14$

h(x):

$h(x)=3^x+1$

i(x):

$i(x)=\log _3(x+1)$

From the graphs shown above, it can be seen that the range of the function i(x) goes from -∞ to +∞. This is the function with the greatest negative range.

Therefore, the correct option is OPTION D