Question

relation A:
x 4 5 5 7 10
y 4 5 0 8 1

relation C: 4x+53=y


Relation D: 8x^2

which one is a function and which one is not? which option is correct

Answer 1

is 4x+53=y a function?

Answer 2

is 8x^2 a function?

Answer 3

The given relations are:

Relation A:
x: 4 5 5 7 10
y: 4 5 0 8 1

Relation C: 4x + 53 = y

Relation D: 8x^2

A function can be defined as a relation where each input (x-value) corresponds to only one output (y-value). To determine if a relation is a function, we must check if there are any repeated x-values with different y-values.

Examining Relation A, we observe that there are repeated x-values (5) with different corresponding y-values (0 and 8). Therefore, Relation A is not a function.

Relation C and Relation D cannot be determined to be functions based on the given information. We need additional context or equations to determine the dependency between x and y in Relation C and Relation D.

Answer 4

Yes, the equation 4x + 53 = y represents a linear function. Each value of x will have a unique corresponding value of y, so it satisfies the definition of a function.

Answer 5

Yes, the expression 8x^2 represents a quadratic function. For any given value of x, there will be a unique result when evaluating 8x^2, so it is a function.