Two Multiple Choice Questions

[lovetolearn]

*** This should be flipped to the left

Let f be a function whose domain is the open interval (1,5). The
figure at right shows the graph f''. Which one of the following shows
the relative extrema of f and the points of inflection of the graph of
f?


a) 1 relative maximum and 2 points of inflection
b) 1 relative maximum, 1 relative minimum, and 1 point of inflection
c) 1 relative maximum, 2 relative minima, and no points of inflection
d) 1 relative maximum, 1 relative minimum, and no points of inflection
e) 1 relative minimum and 2 points of inflection




B


I am debating whether this has 2 points of inflection or 1.








Which one(s) of the following could never be true of a function f?
a) f is differentiable at c
b) f increases at c
c) f(c) is undefined
d) f is concave upward at c
e) f is continuous at c
f) f changes concavity at c
g) f is not continuous at c, but is differentiable at c
h) f(c)=0


I know for sure that one of the answers is G, but I am not sure if there are more.

 

[Deleted member 4993]

View attachment 1882

*** This should be flipped to the left

Let f be a function whose domain is the open interval (1,5). The
figure at right shows the graph f''. Which one of the following shows
the relative extrema of f and the points of inflection of the graph of
f?


a) 1 relative maximum and 2 points of inflection
b) 1 relative maximum, 1 relative minimum, and 1 point of inflection
c) 1 relative maximum, 2 relative minima, and no points of inflection
d) 1 relative maximum, 1 relative minimum, and no points of inflection
e) 1 relative minimum and 2 points of inflection




B


I am debating whether this has 2 points of inflection or 1.

How many times the sign of the curvature change for the function (within the given domain)? ...................... 2 times






Which one(s) of the following could never be true of a function f?
a) f is differentiable at c
b) f increases at c
c) f(c) is undefined
d) f is concave upward at c
e) f is continuous at c
f) f changes concavity at c
g) f is not continuous at c, but is differentiable at c
h) f(c)=0


I know for sure that one of the answers is G, but I am not sure if there are more. ............. The words "could neverbe true of a function" talking about functions in general - there is a hint there in of type of statement

As far as I can tell - only "g" invokes that type of general definition.

.