7
8x8 = 64 so it is 64 (the y) 3x4 = 12 so it is 12 (the x) 64+12 is 76.
A function is an equation that gives a unique answer. A relation does not. Example: y = 3x + 1 is a function. If I give you x, you can determine y. And that y is unique to that x. So if x = 1, you know y = 4. No other of x gives y = 4 as an answer. So y = 3x + 1 is a function. Example: y = 4x2. So if I give you x = 1, y = 4. But y = 4 if I also give you x = -1. So y = 4x2 is not a function, it is a relation.
no
No, a relation is not a function if its graph intersects the Y-axis twice. A function is defined as a relation in which each input (x-value) has exactly one output (y-value). If a graph intersects the Y-axis at two points, it means there are two different y-values for the same x-value, violating the definition of a function.
Y=X^2 is a function for it forms a parabola on a graph.
determine whether each relation is a function y equals -8
8x8 = 64 so it is 64 (the y) 3x4 = 12 so it is 12 (the x) 64+12 is 76.
y = x This is a line and a function. Function values are y values.
A function is an equation that gives a unique answer. A relation does not. Example: y = 3x + 1 is a function. If I give you x, you can determine y. And that y is unique to that x. So if x = 1, you know y = 4. No other of x gives y = 4 as an answer. So y = 3x + 1 is a function. Example: y = 4x2. So if I give you x = 1, y = 4. But y = 4 if I also give you x = -1. So y = 4x2 is not a function, it is a relation.
no
No, a relation is not a function if its graph intersects the Y-axis twice. A function is defined as a relation in which each input (x-value) has exactly one output (y-value). If a graph intersects the Y-axis at two points, it means there are two different y-values for the same x-value, violating the definition of a function.
Y=X^2 is a function for it forms a parabola on a graph.
y - |x| is an expression, not a function.
If you plug in y for the x function, and it equals the answer you got, it is right.
First of all, ALL functions are relations, but not all relations are functions. To answer the question of whether or not this relation is a function, you want to know if any x value goes to more than one y value. In this case it is easy. Look at what happens when x=0. At x = 0, your equation becomes y^2=4. Both y=2 and y=-2 satisfy that equation. So x=0 goes to two different y values. It is a relation, but NOT a function.
Yes.
Yes.