a The x- and y-intercepts are points where the graph crosses the x- and y-axis, respectively.
B
b The x- and y-intercepts are points where the graph crosses the x- and y-axis, respectively.
C
c Start from finding zeros in the table.
A
ax-intercepts: - 2 and 0 y-intercept: 0
B
bx-intercepts: - 3 and 5 y-intercept: 3
C
cx-intercepts: - 1 and 1 y-intercept: - 1
Practice makes perfect
a The x- and y-intercepts are points where the graph crosses the x- and y-axis, respectively. Let's identify them on the given graph.
Now we can determine the coordinates of these intercepts.
As we can see, the graph crosses the x-axis at the points ( - 2, 0) and ( 0,0). Notice that at the point (0, 0) the graph crosses not only the x-axis, but also the y-axis.
Thus the x-intercepts are - 2 and 0, and the y-intercept is 0.
b Let's identify the points where the given function crosses either the x - or the y -axis on the graph.
Now we can determine the coordinates of this point.
As we can see, the graph crosses the x-axis at the points (- 3, 0) and (5,0). Thus the x-intercepts are - 3 and 5. We can also notice that the graph intercepts the y-axis at the point (0,3), so the y-intercept is 3.
c We will identify the x - and y -intercepts of the given relation one at a time.
x
- 3
- 2
- 1
0
1
2
3
y
8
3
0
- 1
0
3
8
Finding the x-intercept
Think of the point where the graph of a relation crosses the x-axis. The y-value of that ( x, y) coordinate pair is 0, and the x-value is the x-intercept. To find the x-intercept of the relation, we need to find the points where the y-value is 0.
x
- 3
- 2
- 1
0
1
2
3
y
8
3
0
- 1
0
3
8
We can see that the x-intercepts are - 1 and 1.
Finding the y-intercept
Let's use the same concept to find the y-intercept. Consider the point where the graph of the relation crosses the y-axis. The x-value of the ( x, y) coordinate pair at the y-intercept is 0. Therefore, we need to find the point where the x-value is 0.
