a You can identify the x- and y-intercepts by examining the graph.
B
b What is the y-coordinate of the x-intercept? What is the x-coordinate of the y-intercept?
C
c What is the y-coordinate of the x-intercept? What is the x-coordinate of the y-intercept?
D
d You can identify the x- and y-intercepts by looking at the graph.
A
ax-intercepts: -1 and 1 y-intercept: 4
B
bx-intercept: 19 y-intercept: -3
C
cx-intercepts: -2 and 4 y-intercept: 10
D
dx-intercepts: -1 and 1 y-intercept: -1
Practice makes perfect
a For this relationship, we can identify the x- and y-intercepts by looking at the graph.
We can see that it intercepts the x-axis at two points, x=-1 and x=1. There is only one y-intercept at y=4.
b We can identify the x- and y-intercepts of this relationship by analyzing the ordered pairs from the table.
x-intercept
The x-intercept is the point at which the graph touches the x-axis. The y-coordinate of this point is 0. Therefore, we can determine that when y=0, we will have the x-intercept of this relationship. We can see in the table that this happens at x=19.
y-intercept
The y-intercept is the point at which the graph touches the y-axis. It has an x-coordinate of 0. From the table, we can see that the y-value which corresponds to x=0 is -3.
c Just as in Part B, we can identify the x- and y-intercepts from the table. Using the same reasoning from Part B, we can see that there are two x-intercepts, (-2,0) and (4,0). There is only one y-intercept shown in the table, (0,10).
d We can identify the x- and y-intercepts of this relationship by examining its graph.
We can see that it intercepts the x-axis at x=-1 and at x=1. The y-intercept of this relationship occurs at y=-1.
