Define f: n rightarrow z be defined as follows: for each n n, f(n) = 1 + (-1)^n (2n - 1)/4. is the function f an injection? is the function f a surjection? justify your conclusions. suggestions. start by calculating several outputs for the function before you attempt to write a proof. in exploring whether or not the function is an injection, it might be a good idea to uses cases based on whether the inputs are even or odd. in exploring whether f is a surjection, consider using cases based on whether the output is positive or less than or equal to zero.

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

ok

step-by-step explanation:

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this

shift 4 units up, and 1 unit left.

it will translate f(x) = 3^x to g(x) = 3^(x+1) + 4