Graphs of Rational Functions

At which values of x does the graph of have a vertical asymptote? Check all that apply.

-4, 1, 4 (A,C, and E)

If the graph of f(x)=9x^2+36x+41/3x+5 has an oblique asymptote at y = 3x + k, what is the value of k?

7

Which graph represents the rational function f(x)=2/X^2=5 ?

A

Which equation models the rational function shown in the graph?

A f(x)=2(x+2)/x-2

Which statements describe the end behavior of the graph of the function shown? Check all that apply.

As x → ∞, y → ∞. ; As x → -∞, y → -∞. (B and F)

Use the graph of f(x) to explain why the function has no real zeros.

B The graph of f(x) does not cross the x-axis; therefore, f(x) has no real zeros.

The graph of f(x)=24x^2+62x+34/4x+3 has an oblique asymptote at y =

C 6x+11

Use the graph of f(x) to explain the relationship between the real zeros of f(x) and its intercept(s).

D f(x) has one real zero at -4 because the graph of the function has an intercept at (-4, 0).

Which function has a graph with a horizontal asymptote at y = 3, a vertical asymptote at x = 1, and an x-intercept at 2?

D f(x)= 3(x-2)/x-1

Identify the graph of a rational function that is decreasing on the interval (-5, 5).

NOT A