Chapter Test
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Substitute some arbitrary values for x to find their corresponding y-values.
Table:
x | y |
---|---|
- 2 | 0 |
-1 | 3 |
0 | 4 |
1 | 3 |
2 | 0 |
Graph:
One way to graph a function rule is by making a table of values and substituting some arbitrary values for x. Doing so will give the corresponding values of y, which we can use to form ( x, y) coordinate pairs.
x | 4-x^2 | y | (x,y) |
---|---|---|---|
- 2 | 4-( - 2)^2 | 0 | ( - 2, 0) |
-1 | 4-( -1)^2 | 3 | ( -1, 3) |
0 | 4-( 0)^2 | 4 | ( 0, 4) |
1 | 4-( 1)^2 | 3 | ( 1, 3) |
2 | 4-( 2)^2 | 0 | ( 2, 0) |
Let's plot these points on a coordinate plane.
We can see that there is no line that passes through the five points, which means that the given function is nonlinear. Hence, we will draw a curve passing through all five of these points.
A function such as y=4-x^2 is known as a quadratic function and its graph, which is shown above, is called a parabola. You will learn more about this sort of equation later.