Question

Scan domain, range and graph of the following functions:

Answer 1

Sorry can't include the graphs, just subsitute y for f(x) and graph by subsituting values


so domain is the set of numbers you are allowed to use
range is the set of number you get from inputing the numbers from the domain into the function


so normally the domain is all real numbers
you must exclude number from the domain that make mathematical  undifined impossible stuff exg dividing by zero so
not sure about the ranges so I will leave that out


a. denomenator is x-2
cannot be zero
x-2=0
add 2
x=2

domain: all real numbers except for 2




b. x+2=deomenator
x+2=0
subtract 2
x=-2
x acannot be -2

domain: all real numbers except for -2

c
x cannot be 0
domain: all real numbers except for 0


d. x cannot be -1
domain: all real numbers except for -1


e: x cannot be a negative number or 0
domain: all real numbers greater than zero


f: x cannnot be -2
domain: al real numbers except -2

g: x cannot be 0
domain: all real number except 0

h: x cannot be zero
domain: all real numbers except 0

i: x cannot be 1
doman: all real number except 1

j: 5x-2=0
add 2
5x=2
divide 5
x=2/5

x cannot be 2/5
domain: all real numbers except for 2/5