Consider the function f (x) = (2x - a)(x - b)/5(x - b)(x - c). Determine where the following features of its graph

1 answer:

5 0

A) The function simplifies to
.. f(x) = (2x -a)/(5(x -c)) . . . . . . x ≠ b
The x-intercept will be located where f(x) = 0, at x = a/2.

b) The y-intercept is located where x = 0, at f(0) = a/(5c)

c) The vertical asymptote is where the denominator is zero, at x = c

d) The horizontal asymptote is the value that results when x gets large, y = 2/5.

e) There is a "hole" in the graph at x=b, where the function is undefined.

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Answer:
In order from least to greatest: 0.25, 3 ⅜, 3 <span>⅖</span>;

Or, write as: 0.25 < 3 ⅜ < 3 ⅖ .
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3 <span>⅖ ;</span> and 3 ⅜.

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