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crazyshaniya
14.07.2019 •
Mathematics
What are the vertical asymptotes of the function f(x) = the quantity of 4 x plus 8, all over x squared plus 3 x minus 4? x = −1 and x = −2 x = −1 and x = 2 x = −1 and x = −4 x = 1 and x = −4
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Ответ:
To find a rational function's vertical asymyptotes, you need to find when the denominator is zero. So when is the denominator x² + 3x - 4 zero? We set that denominator equal to zero.
x² + 3x - 4 = 0
This second degree equation factors. We want a pair of numbers that multiply to 4, and there are only two pairs: 2 and 2, 1 and 4. We want the sum to 3, and one must be negative. -2 and 2 add to zero, -4 and 1 add to -3, -1 and 4 add to 3. The last one is the pair.
x² + 3x - 4 = 0
(x + 4) (x - 1) = 0
x = -4 or x = 1
So the function's vertical asymptotes are at x = 1 and x = -4.
Ответ:
Substitute the coordinate points value in the formula.
From the slope-intercept form y = mx+b where m = slope and b = y-intercept. Therefore slope = m = -1
Answer