Functions Determine whether or not the following represent f

Functions Determine whether or not the following represent functions. 11. ((5,72), 26. so), 71.35. G2,39), 45.74 es6, 61 10. t (-4,5), (6, 7. 4. -701 Find the implied domain of the following. 3x x +4 15, f(x) +2 14, f(x) 13, f(x) x-4 x +9 18. f() x +3x-17 17. f(x) 2x-9 21. t 3, -4), (2, 10), (5,701 20. to-4, 5. (-6, 7, (-4, -701

Solution

1) To use the vertical line test, take a ruler or other straight edge and draw a line parallel to the y-axis for any chosen value of x. If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function.

So, from given graphs 1, 3, 4 , 6 are functions as vertical line intersects graphs only once

7) A function is a set of ordered pairs in which each x-element has only ONE y-element associated with it.

It is a function no x values have more than one y value

8) It is a function no x values have more than one y value

9) It is a function no x values have more than one y value

10) It is not a function as we can see x =-4 has two y values y = 5, -7

11)It is not a function as we can see x =45 has two y values y = 72,74