The tables below show the values of y corresponding to different values of x:

table a

x
3 2 1

y
1 0 0

table b

x
3 5 5

y
−2 1 2

which statement is true for the tables?

both table a and table b represent functions.

both table a and table b do not represent functions.

table a does not represent a function, but table b represents a function.

table a represents a function, but table b does not represent a function.

Solution:

A function or mapping is defined as set of ordered pairs(x,y) such that for different x values there will be different y values or vice versa.for example , x= y +2 is a function,because for different y we will get different x and for no  two different , y values we get a unique x value. For two different y's we get two different x, then we can call it a function.

Table A    

            X               Y

            3                 1

             2                 0

             1                  0

As, each element of X is associated with unique element of Y, so this is a function.

Table B

X            Y

3           -2

5              1

5              2

Two same elements of X that is 5 has different images that is 1 as well as 2 . So this is not a function.

Option (4) →Table A represents a function, but Table B does not represent a function.

hi, i am not sure about this one but i think its d,

hope this !

no oblique asymptote

step-by-step explanation:

to find the oblique asymptote of f(x)

here numerator has degree 1 and denomintor degree 2

degree of numerator < degree of denominator

hence there is no oblique asymptote

when the degree of the denominator > that of the numerator, we saw that the value in the denominator got so much bigger, so quickly,   giving us a horizontal asymptote of the x-axis. or we can write

f(x) = a polynomial of x + a proper fraction.

in this case only we have oblique asymptotes but not when numerator has less degree.