Find the x- and y- intercepts of the following function.
The horizontal axis is the x-axis. The x-coordinate of any point at which the curve touches this axis is an x-intercept of the function.
When we look at the graph, we see that the function touches the x-axis at three points:
\left(-1{,}0\right), \left(2{,}0\right) \text{ and } \left(3{,}0\right).
The x-coordinates of these three points are all the x-intercepts.
Thus, the x-intercepts are -1, 2, and 3.
The vertical axis is the y-axis. The y-coordinate of any point at which the curve touches this axis is a y-intercept of the function.
When we look at the graph, we see the function touches the y-axis at one point:
\left(0{,}6\right).
The y-coordinate of this point, 6, is the y-intercept.
- The x-intercepts are -1, 2 and 3.
- The y-intercept is 6.
The horizontal axis is the x-axis. The x-coordinate of any point at which the curve touches this axis is an x-intercept of the function.
When we look at the graph, we see that the function touches the x-axis at three points:
\left(-4{,}0\right), \left(2{,}0\right) \text{ and } \left(4{,}0\right).
The x-coordinates of these three points are all the x-intercepts.
Thus, the x-intercepts are -4, 2, and 4.
The vertical axis is the y-axis. The y-coordinate of any point at which the curve touches this axis is a y-intercept of the function.
When we look at the graph, we see the function touches the y-axis at one point:
\left(0{,}3\right).
The y-coordinate of this point, 3, is the y-intercept.
- The x-intercepts are -4, 2 and 4.
- The y-intercept is 3.
The horizontal axis is the x-axis. The x-coordinate of any point at which the curve touches this axis is an x-intercept of the function.
When we look at the graph, we see that the function touches the x-axis at two points:
\left(-8{,}0\right) \text{ and } \left(0{,}0\right).
The x-coordinates of these three points are all the x-intercepts.
Thus, the x-intercepts are -8 and 0.
The vertical axis is the y-axis. The y-coordinate of any point at which the curve touches this axis is a y-intercept of the function.
When we look at the graph, we see the function touches the y-axis at one point:
\left(0{,}0\right).
The y-coordinate of this point, 0, is the y-intercept.
- The x-intercepts are -8 and 0.
- The y-intercept is 0.
The horizontal axis is the x-axis. The x-coordinate of any point at which the curve touches this axis is an x-intercept of the function.
When we look at the graph, we see that the function touches the x-axis at three points:
\left(-5{,}0\right), \left(0{,}0\right), \text{ and } \left(5{,}0\right).
The x-coordinates of these three points are all the x-intercepts.
Thus, the x-intercepts are -5, 0, and 5.
The vertical axis is the y-axis. The y-coordinate of any point at which the curve touches this axis is a y-intercept of the function.
When we look at the graph, we see the function touches the y-axis at one point:
\left(0{,}0\right).
The y-coordinate of this point, 0, is the y-intercept.
- The x-intercepts are -5, 0, and 5.
- The y-intercept is 0.
The horizontal axis is the x-axis. The x-coordinate of any point at which the curve touches this axis is an x-intercept of the function.
When we look at the graph, we see that the function touches the x-axis at four points:
\left(-7{,}0\right), \left(-4{,}0\right), \left(4{,}0\right), \text{ and } \left(8{,}0\right).
The x-coordinates of these four points are all the x-intercepts.
Thus, the x-intercepts are -7, -4, 4, and 8.
The vertical axis is the y-axis. The y-coordinate of any point at which the curve touches this axis is a y-intercept of the function.
When we look at the graph, we see the function touches the y-axis at one point:
\left(0,-5\right).
The y-coordinate of this point, -5, is the y-intercept.
- The x-intercepts are -7, -4, 4, and 8.
- The y-intercept is -5.
The horizontal axis is the x-axis. The x-coordinate of any point at which the curve touches this axis is an x-intercept of the function.
When we look at the graph, we see that the function touches the x-axis at three points:
\left(-8{,}0\right), \left(-2{,}0\right), \text{ and } \left(5{,}0\right).
The x-coordinates of these three points are all the x-intercepts.
Thus, the x-intercepts are -8, -2, and 5.
The vertical axis is the y-axis. The y-coordinate of any point at which the curve touches this axis is a y-intercept of the function.
When we look at the graph, we see the function touches the y-axis at one point:
\left(0{,}8\right).
The y-coordinate of this point, 8, is the y-intercept.
- The x-intercepts are -8, -2 and 5.
- The y-intercept is 8.
The horizontal axis is the x-axis. The x-coordinate of any point at which the curve touches this axis is an x-intercept of the function.
When we look at the graph, we see that the function touches the x-axis at three points:
\left(2{,}0\right), \left(5{,}0\right), \text{ and } \left(8{,}0\right).
The x-coordinates of these four points are all the x-intercepts.
Thus, the x-intercepts are 2, 5, and 8.
The vertical axis is the y-axis. The y-coordinate of any point at which the curve touches this axis is a y-intercept of the function.
When we look at the graph, we see the function touches the y-axis at one point:
\left(0,-5\right).
The y-coordinate of this point, -5, is the y-intercept.
- The x-intercepts are 2, 5, and 8.
- The y-intercept is -5.