Question

Which table does not represent a function? *

Answer 1

x is the value of input, f(x) is the output. if an input produces more than one output, the table does not represent a function.
In this case, table D is not a function. the x value 0 has three different output values, -1, 4, and 6; the input 2 also has three different output values.
While in A, B, C, every x value has only one corresponding y values (Note: these y values can be equal.) 

Answer 2

Table D is not a function

Further explanation

Function is a relation which each member of the domain is mapped onto exactly one member of the codomain.

There are many types of functions in mathematics such as :

• Linear Function → f(x) = ax + b

• Quadratic Function → f(x) = ax² + bx + c
• Trigonometric Function → f(x) = sin x or f(x) = cos x or f(x) = tan x
• Logarithmic function → f(x) = ln x
• Polynomial function → f(x) = axⁿ + bxⁿ⁻¹ + ...

If function f : x → y , then inverse function f⁻¹ : y → x

Let us now tackle the problem!

According to the definition above, it can be concluded that a function cannot have the same x value.

Of the four tables available in choices, table option D is not a function. This is because there is the same x value, x = 2 i.e :

( 2, 3 ) , ( 2, 5 ) , ( 2, 7 ).

Learn more

• Inverse of Function : https://brainly.com/question/9289171
• Rate of Change : https://brainly.com/question/11919986
• Graph of Function : https://brainly.com/question/7829758

Answer details

Grade: High School

Subject: Mathematics

Chapter: Function

Keywords: Function , Trigonometric , Linear , Quadratic