Question

Please help!!!
Which of the following representations are functions?
A only

A and B only

A and C only

A, B and C

Answer 1

Answer:

A and B only

Step-by-step explanation:

The table has x=10 that maps on to y=5 and y=-5.

This disqualifies the table for being a function.

The ordered pairs has no x-value repeating.

The graph of y=x² +10 is a vertical parabola that passes the vertical line test, hence it is also a function.

For a relation to be a function, no x-value must repeat; this means its graph must pass the vertical line test

Answer 2

A function is such that the input values do not have more than one corresponding output value.

The functions are A and B only.

The ordered pair is given as: {(0,9), (3,12), (-5,10), (5,10)}

Notice that all input values 0, 3, -5 and 5 do not point to multiple output values.

Hence, the ordered pair (A) is a function

The function (B) is given as:

$y =x^2 + 10$

The above is a function because all x values do not have multiple y values.

On table (C), we notice that:

Input value 10 points to multiple output values 5 and -5

Hence, the table (C) is not a function

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