Function, Domain And Range, Vertical Line Test

A graph represents a function if each input value (x-coordinate) corresponds to exactly one output value (y-coordinate). In Graph 2, for every x-value, there is only one y-value associated with it, satisfying the definition of a function. However, in Graph 1, for some x-values, there are multiple y-values, which violates the definition of a function. Therefore, Graph 2 represents a function while Graph 1 does not.

To evaluate f(3), we substitute 3 into the equation f(x) = 2x + 5. This gives us f(3) = 2(3) + 5 = 6 + 5 = 11. Therefore, the correct answer is 11.

The given question asks if something is a function. The answer provided is "No". This means that the thing in question is not a function.

To find the value of f(4), we substitute 4 into the function f(x) = x^3 - x. Therefore, f(4) = 4^3 - 4 = 64 - 4 = 60.

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The relationship is a function because for every input, there is only one corresponding output.

To evaluate f(8), we substitute x=8 into the given function f(x). So, f(8) = 8^2 - 5(8) + 4 = 64 - 40 + 4 = 28. Therefore, the correct answer is 28.

To evaluate f(5), we substitute 5 into the function f(x) = 4x^2. Therefore, f(5) = 4(5)^2 = 4(25) = 100.