Sketch a graph of a function f that has the given properties.(a) f(2) = 3(b) f''(x) > 0 for x > 4(c) f''(x) < 0 for x < 4

What will be an ideal response?

Answers will vary. A general shape is indicated below:


Mathematics

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Simplify.

A.  +  
B.  -  
C.
D.  - 

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Mathematics

Find the vertical asymptotes of the rational function.h(x) = 

A. x = 1, x = -4 B. x = 0, x = 1 C. x = -1, x = 1 D. x = -1, x = 1, x = -4

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Mathematics

Determine whether the two triangles are congruent. If they are, state by what theorem they are congruent. The triangles are not to scale.


a.  not congruent
b.  congruent by AAA
c.  congruent by SSS
d.  congruent by ASA
e.  congruent by SSA

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Mathematics

Translate the following statement to a mathematical expression and simplify.The sum of 7 and 6 multiplied by -10

A. 10(7 + 6) = 130 B. 7 + 6 ? (-10) = -130 C. -10(7 + 6) = -130 D. 7 + 6 ? (-10) = 130

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Mathematics