Ciara believes that whenever the Moon is in the position that
is shown from above (top view)
in Diagram A, the Moon always
looks completely dark in the
view from Earth, as shown in
Diagram B.
Is Ciara correct? If she is
correct, explain why the Moon
always looks dark from Earth in
that position, and explain how
she should show light in
Diagram A. If she is incorrect,
explain how else the Moon can
look when it is in that position.

answer-

the statement that f(x) = |x+a| + b has exactly one x-intercept is sometimes correct.

solution-

it solely depends on b, whether the function will have one or two or zero x intercept.

this plot of the given function, f(x) = |x+a| + b will be the basic absolute value graph i.e v shape, with vertex translated to (-a, b), instead of origin.

1-   if b is zero, the graph will have exactly one x-intercept, at x= -a

2- if b is positive, the whole graph will be above the x-axis, hence it will have no x-intercepts.

3- if b is negative, the graph will be below the x-axis, hence it will have two x-intercepts.

∴ the statement is sometimes true.

answer; benefit; harmed;

answer; aerobic conditions; citric acid cycle (krebs cycle) electron transport chain;         anaerobic conditions; fermentation; both glycolysis;