The graph of has an oblique asymptote at y =

A plane travels 2,000 kilometers at a speed of 900 kilometers per hour (kph) with no wind. When a tailwind is present, the plane’s speed increases by x kilometers per hour. The time it takes the plane to travel the same distance with the tailwind, t(x), is defined by the function . What is the meaning of the y-intercept for this function?

Which statements describe the key features of the graph of ? Check all that apply.The graph has a y-intercept at –2.The graph has an x-intercept at –6.The graph has a vertical asymptote at x = 3.The graph has a vertical asymptote at x = –3.The graph has a horizontal asymptote at y = 1.

Which graph represents the rational function ?





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What key features does f(x), shown in the graph, share with g(x), shown in the equation? Select three options.

Which statements describe the end behavior of the graph of the function shown? Check all that apply.As x → ∞, y → 1.As x → ∞, y → ∞.As x → ∞, y → –∞.As x → –∞, y → 1.As x → –∞, y → ∞.As x → –∞, y → –∞.

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




Consider the function .For which intervals is f(x) positive? Check all that apply. (–∞, –3)(–3, –2)(–2, 2)(2, 3)(∞, 3)

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