1) 20 marks total] Let X be the set of real numbers. Show that the function f:XX defined by f(x)=2x 3 is a. [10 marks] one-to-one function, and also b. [10 marks] onto function. 2) [35 marks total ] Let W={X,Y,Z} and V={c,d}. a. [10 marks] Determine the number of functions from W onto V. b. [30 marks] You may either use drawings like the following to present each distinct function you stated it exists when answered item a. or provide your solution as a set of ordered pairs like f={(a,z),(b,y), (c,z),(d,z)}.

1. 1) 20 marks total] Let X be the set of real numbers. Show that the function f:XX defined by f(x)=2x
3 is a. [10 marks] one-to-one function, and also b. [10 marks] onto function. 2) [35 marks total ] Let
W={X,Y,Z} and V={c,d}. a. [10 marks] Determine the number of functions from W onto V. b. [30
marks] You may either use drawings like the following to present each distinct function you stated
it exists when answered item a. or provide your solution as a set of ordered pairs like f={(a,z),(b,y),
(c,z),(d,z)}