If f(x) is an even function and (6, 8) is one the points on the graph of f(x), which reason explains why (–6, 8) must also be a point on the graph? since the function is even, the outputs of a negative x-value and a positive x-value are the same. since the function is even, the outputs of a negative y-value and a positive y-value are the same. the graph has rotational symmetry, so the point will be reflected across the y-axis. the graph has rotational symmetry, so the point will be rotated 90 degrees about the origin.

Step-by-step explanation:

Definition:

A function is "even" when f(x) = f(−x) for all x.

Geometrically speaking, the graph face of an even function is symmetric with respect to the y-axis, meaning that its graph remains unchanged after reflection about the y-axis.

If point (6, 8) is one the points on the graph of f(x), then f(6)=8 and since function is even, you can state that f(-6)=f(6)=8. This means that point (-6,8) must also be a point on the graph. Geometrically it means that the output of a negative x-value and its opposite is the same.

correct choice is A.

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Option A

Step-by-step explanation:

A function is even if f(x) = f(-x) for all x

In other words, the function graph will be symmetrical about x=0 or y axis.

Since (6,8) and (-6,8) are two points on either side of y axis equidistant from y axis and also since f is even and one point lies on the graph the other point also lies on the graph.

Since the function is even, the outputs of a negative x-value and a positive x-value are the same.

would be the correct answer.

Option B is incorrect since output of negative y and positive y will not be same unless f is symmetrical about x axis.

Option C is incorrect as the graph is not symmetrical about a point so there cannot be rotational symmetry.

Option D is also incorrect

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.