Reaction 1

............................O
...........................//
CH2=CH-CH-OH + CH3-CH-CH2-C
........|...........|......\
.......CH3.........CH3......OH

Left of the "+" is COMPOUND 1 and the right is COMPOUND 2.

a) Identify the Functional groups in compounds 1 and 2

b) Complete the equation for reaction 1, by drawing abbreviated structural formula(e) of the product(s) of this reaction.

i) Identify any new functional groups in the organic product(s)

c) State the type of reaction that has occurred and explain how you have arrived at this answer.

If you will look at the post you can see that it is difficult to make sense of it. Probably, from previous posts, I suspect you have OH (ROH are alcohols) and COOH (RCOOH are acids).
RCOOH + R'OH produce esters. Look in your text, notes, and read about esters. The ester produced is as follows:
RCOOH + R'OH ==> RCOOR' + H2O.

........................................................O
......................................................//
CH2=CH-CH-OH + CH3-CH-CH2-C
..............|......................|..............\
............CH3..................CH3............OH

In my question booklet the first CH3 is Under the =CH-"#CH#"-OH and the second CH3 is under CH3-"#CH#"CH2. OH on the right comes off the ...CH2-"C" and so does O.

can you please tell me where you get the R from please and is the ester the reaction that has occured

The R is anything attached to the OH or COOH so ROH is ANY aliphatic alcohol and RCOOH is ANY aliphatic acid. And yes, an alcohol + an acid produces an ester + water. Using the R notation, R denotes any aliphatic group and R' denotes a different (but COULD be the same) aliphatic group; therefore,
RCOOH + HOR' ==> RCOOR' + H2O.
The OH from the RCOOH comes off with the H of the alcohol to form water and the -OR' hooks to the C of the RC=O.

a) The functional group in compound 1 is an alcohol group (-OH) and the functional group in compound 2 is a ketone group (C=O).

b) To complete the equation for reaction 1, we need to draw the abbreviated structural formula of the product(s) of the reaction. In this case, the reaction is an alcohol (compound 1) reacting with a ketone (compound 2) to form an ester. The ester product can be represented as follows:

RCOOCH2CH2CH2OH + CH3CH2CH2COCH3

i) The new functional group in the organic product is the ester group (-COO-).

c) The type of reaction that has occurred is an esterification reaction. This is because an alcohol and a ketone have reacted to form an ester, with the release of water. The reaction can be classified as a condensation reaction, as it involves the loss of a small molecule (water) during the formation of the ester.