Answer:

Step-by-step explanation:
<u><em>The complete question is</em></u>
The table shows how far a distance runner has traveled since the race began. What is her average speed, in miles per hour, during the interval 0.75 to 1.00 hours?
Time Elapsed (Hours) Miles Traveled (Miles)
0.50 2.00
0.75 3.50
1.00 4.75
Let
x ----> the time in hours
f(x) ----> the distance traveled in miles
so
we have
x (Hours) 0.50 0.75 1.00
f(x) (Miles) 2.00 3.50 4.75
we know that
To find the average speed, we divide the change in the output value by the change in the input value
the average speed is equal to
In this problem we have
Substitute



Answer:

Step-by-step explanation:

Maybe. there’s a slim chance you won’t

so, that function is "defined", ok, what values of "x" are not in the domain, namely, what values can "x" take on and not make the function "undefined", well, you know, if we end up with a 0 at the denominator, like

then, we'd have an "undefined" expression...so... any values of "x" that make the denominator 0, are not really the ones we want, and thus they'd be excluded from the domain.
so, hmm which are those? let's check, let's set the denominator to 0, and solve for "x".
Answer:
Everyone one of them except 3