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gladu [14]
3 years ago
6

"find the indicated function values"

Mathematics
1 answer:
igomit [66]3 years ago
4 0
A)   f(-10)

meaning x = -10

the first subfunction applies only below that, namely x < -10.

the second subfunction does contain -10 in it since -10 ⩽ x ⩽ 10, so we use that one then,
 
x = -10, thus x² is (-10)², or 100.



b)    f(10)

x = 10.

that will also be the second subfunction, since it's the one that contains 10, thus,

x = 10, x² is (10)² or 100.



c)  f(11)

x = 11.

well, is not the second subfunction, since its domain goes up to 10, x⩽10.

looking at the third subfunction, that includes 11, since x > 10, thus,

x = 11,

(11)² + 10

121 + 10

131.
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x =\dfrac{20 +\sqrt{454}}{18}, \quad \dfrac{20 -\sqrt{454}}{18}

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