Which expression is undefined?
1 answer:
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Part A: Yes, the data represent a function. The definition of a function is a relation in which no value of x will have two different values of y.
(Every time you plug in 3 as x, you will always get 4 as y; it's ok if you plug in 3 and 5 as x and get the same y, you just can't get two different y's for one x; sorry, it is pretty confusing). None of the numbers in the table repeat, so we can safely say that the relation is a function.
Part B: All we have to do is plug in 11 for x in the function given to find the answer:
In the table, y = 8 when x = 11, but in the function given, y = 34 when x = 11, so the function given is greater.
Part C: To find the answer to C, just plug in 99 for f(x), as it tells you to do:
(Every time you plug in 3 as x, you will always get 4 as y; it's ok if you plug in 3 and 5 as x and get the same y, you just can't get two different y's for one x; sorry, it is pretty confusing). None of the numbers in the table repeat, so we can safely say that the relation is a function.
Part B: All we have to do is plug in 11 for x in the function given to find the answer:
In the table, y = 8 when x = 11, but in the function given, y = 34 when x = 11, so the function given is greater.
Part C: To find the answer to C, just plug in 99 for f(x), as it tells you to do:
so we have a 60-30-90 triangle (top one)
so since we know 6 is x (the side on the right angle and 60 degrees)
b is 2x or 2(6) = 12
a is x√3 = 6√3
for C I need to use a 45 45 90 triangle
Since b is 12 and its x√2 to find x we should write it as
x√2 = 12
√2 √2 divide by √2
x = 12/√2 but we must rationalize the denominator
12/√2 times √2/√2 = 12√2/2 and that's c
