Hi, I need help with this calculus problem. Thank you for your help - I really appreciate it! For the problem below, state True if problem is true or False if problem is false. A. f(x) is increasing and f(x) > 0 on the interval I, then g(x) = 1 f(x) is decreasing on I -[10²] = x10²-1 C. If g"(x) = 0 for all æ, then g(x) must be a constant function. D. If h(x) is differentiable for all x, then h(x) cannot have any sharp corners or horizontal tangent lines. B.

College Algebra (MindTap Course List)
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Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
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Hi, I need help with this problem. Thank you so much!

Hi, I need help with this calculus problem. Thank you for your help - I really appreciate it!
For the problem below, state True if problem is true or False if problem is false.
A. f(x) is increasing and f(x) > 0 on the interval I, then g(x) = 1 f(x) is decreasing on I
В.
-[10²] = x10²-1
C.
If g"(x) = 0 for all æ, then g(x) must be a constant function.
D. If h(x) is differentiable for all x, then h(x) cannot have any sharp corners or horizontal tangent
lines.
Transcribed Image Text:Hi, I need help with this calculus problem. Thank you for your help - I really appreciate it! For the problem below, state True if problem is true or False if problem is false. A. f(x) is increasing and f(x) > 0 on the interval I, then g(x) = 1 f(x) is decreasing on I В. -[10²] = x10²-1 C. If g"(x) = 0 for all æ, then g(x) must be a constant function. D. If h(x) is differentiable for all x, then h(x) cannot have any sharp corners or horizontal tangent lines.
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