Now, plug -1 into the function to get the y-coordinate. f(-1) = 3(-1)2 + 6(-1) -2 = 3 - 6 -2 = -5. The vertex is (-1,-5). Graph it by drawing a point where the x coordinate is -1 and where the y-coordinate is -5. It should be in the third quadrant of the graph.
f(-2) = 3(-2)2 + 6(-2) -2 = -2. One point on the graph is (-2, -2) f(0) = 3(0)2 + 6(0) -2 = -2. Another point on the graph is (0,-2) f(1) = 3(1)2 + 6(1) -2 = 7. A third point on the graph is (1, 7).
But let’s say the graph reaches its lowest point at y = -3, but goes upward forever. Then the range is f(x) ≥ -3 and that’s it. Let’s say the graph reaches its highest point at 10 but goes downward forever. Then the range is f(x) ≤ 10.
For example, if she sells 2 tickets, you’ll have to multiply 2 by 5 to get 10, the amount of dollars she’ll get.
For example, if she sells 2 tickets, you’ll have to multiply 2 by 5 to get 10, the amount of dollars she’ll get.
That means that any non-negative integer that is a multiple of five is a possible output for the input of the function.
That means that any non-negative integer that is a multiple of five is a possible output for the input of the function.
