Answer:
Thus, the statement is False!
Step-by-step explanation:
When the domain of a function has an infinite number of values, the range may not always have an infinite number of values.
For example:
Considering a function
Its domain is the set of all real numbers because it has an infinite number of possible domain values.
But, its range is a single number which is 5. Because the range of a constant function is a constant number.
Therefore, the statement ''When the domain of a function has an infinite number of values, the range always has an infinite number of values'' is FALSE.
Thus, the statement is False!
Answer:
Relation 1 : Not a function
R2 : Function
R3: Function
R4: Not a function
Answer:
15
Step-by-step explanation:
y=mx+b
b is the intercept
in this equation "m", the slope, would be one. the y-intercept, or "b" would be 15
Let n = 1
then f(1) = 1^1 - 1 + 2 = 2 so it is true for n = 1
for the next number after n ( n+1) we have f(n+1) =
(n+1)^2 - (n+1) + 2
= n^2 + 2n + 1 - n - 1 + 2
= n^2 + n + 2
= n(n+1) + 2
Now n(n+1) must be divisible by 2 because either n is odd and n+1 is even OR n is even and n+1 is odd and odd & even always = an even number.
So the function is divisible by 2 for n+1 We have shown that its true for n = 1 Therefore it must be true for n = 1,2,3,4 ...
True for all positive integers
