Question

Select the correct answer. Which relation is also a function? A. A linear graph with blue scatter dots consists of y-axis and x-axis placed at (minus 5, 7), (minus 3, 5), (0, 0), (3, minus 1), (4, minus 1), and (7, minus 5) B. { ( - 8 , 8 ) , ( - 6 , 5 ) , ( - 6 , 4 ) , ( - 3 , 1 ) , ( - 1 , 0 ) } C. x y 10 1 15 2 15 3 20 4 20 5 D. A nonlinear graph consists of y-axis and x-axis a blue circle is formed by connecting all the points x-axis (minus 7, 0) and (7, 0) and y-axis at (0, 3.5) and (0, minus 3.5)

Answer 1

Explanation:

a function simply means that for every value of x there is exactly one associated value of y.

A is a function.

B is NOT a function (as the x- value -6 has 2 different associated values of y : 5 and 4).

C is NOT a function (as the x- value 15 has 2 different associated values of y : 2 and 3).

D is NOT a function, because a circle cannot be a function, as it violates the definition for almost every point. to check, imagine a vertical line that you move along the x-axis. if it intersects the relation at any point more than once, it is not a function. and a circle gets intersected exactly twice by such a line for almost any point along is diameter (except for the 2 left and right end points).