What is the midline equation of the function? do I add 5.5 to 3.5 then divide ? Thanks in advance

The midline of the function is y = 2.

Step-by-step explanation:

Midline is the horizontal line that passes exactly in the middle between the graph's maximum and minimum points.

The midline of a sinusoidal function passes exactly in the middle of its extreme values.

Since the amplitude of a sinusoid is equal to the vertical distance from its midline to one of its extrema, we can calculate the midline using one of the following formulas.

midline = max value − amplitude

midline = min value + amplitude

According to the graph, the maximum value of the function is 5.5, and the amplitude is 3.5.

So, the midline is

midline = max value − amplitude

midline = 5.5 − 3.5 = 2

thus, the first answer choice, y = sec x, is the correct one

no oblique asymptote

step-by-step explanation:

to find the oblique asymptote of f(x)

here numerator has degree 1 and denomintor degree 2

degree of numerator < degree of denominator

hence there is no oblique asymptote

when the degree of the denominator > that of the numerator, we saw that the value in the denominator got so much bigger, so quickly,   giving us a horizontal asymptote of the x-axis. or we can write

f(x) = a polynomial of x + a proper fraction.

in this case only we have oblique asymptotes but not when numerator has less degree.