aebacchieri
27.09.2021 •
Mathematics
Explain why the function is discontinuous at the given number a. (Select all that apply.)
av -
f(x) = 3 x + 3
if x # -3
a = -3
if x = -3
(-3) is undefined.
O
f(x) and lim f(x) are finite, but are not equal.
x-3t
X-+-3
f(-3) is defined and lim f(x) is finite, but they are not equal.
x→-3
lim f(x) is not finite.
lim
X-3
none of the above
Sketch the graph of the function.
у
у
10
10+
5
х
10
5
- 10
5
-10
-5
Solved
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Ответ:
x + y = 4
xy = 10
x + y = 4
y = 4-x
xy = 10
x(4-x) = 10
4x - x² = 10
- x² + 4x - 10 = 0
(a + √a² - 4b)/2
(4 + √4² - 4(-10))/2
(4 + √16 + 40)/2
(4 + √56)/2
(4 + 2√14)/2
2(2 + √14)/2
2 + √14
(4 - 2√14)/2
2(2 - √14)/2
2 - √14