Which of the following describes the end behavior of the function f(x) = –5x3 + 3x2 + x – 9? a. as x → –∞, y → –∞ and as x → +∞, y → –∞ b. as x → –∞, y → –∞ and as x → +∞, y → +∞ c. as x → –∞, y → +∞ and as x → +∞, y → –∞ d. as x → –∞, y → +∞ and as x → +∞, y → +∞

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.

an = 22 + (n-1) *6

110 seats

step-by-step explanation:

an=a1+(n-1)(d)

a1 = 22   this is the first item in the sequence

d =6   this is how the sequence goes up

a)   an = 22 + (n-1) *6

b) a12 = 22 + (12-1) *6

    a12 = 22+11*6

  a12 = 22 +88

  a12 = 110