Question

Does the graph cross, or touch but not cross the x-axis at the x-intercept - 2? The graph crosses the x-axis. The graph touches but does not cross the x-axis. Does the graph cross, or touch but not cross the x-axis at the x-intercept - 6? The graph touches but does not cross the x-axis. The graph crosses the x-axis. c. Use the zeros of f and test numbers to find the intervals over which the graph of f is above or below the x-axis. Choose the correct answer below. A. The graph is above the x-axis for $(-\infty,0)$ and below for $(0, -2)$ and $(-2,\infty)$. B. The graph is above the x-axis for $(-\infty,0)$ and below for $(0,2)$ and $(2,\infty)$. C. The graph is above the x-axis for $(-\infty, -6)$ and $(0,2)$ and below for $(-6,0)$ and $(2,\infty)$. D. The graph is above the x-axis for $(-\infty, -6)$ and $(-2,2)$ and below for $(-6, -2)$ and $(2,\infty)$. d. Determine the y-intercept. The y-intercept is (Use a comma to separate answers as needed.) 

          Does the graph cross, or touch but not cross the x-axis at the x-intercept - 2?
The graph crosses the x-axis.
The graph touches but does not cross the x-axis.
Does the graph cross, or touch but not cross the x-axis at the x-intercept - 6?
The graph touches but does not cross the x-axis.
The graph crosses the x-axis.
c. Use the zeros of f and test numbers to find the intervals over which the graph of f is above or below the x-axis.
Choose the correct answer below.
A. The graph is above the x-axis for $(-\infty,0)$ and below for $(0, -2)$ and $(-2,\infty)$.
B. The graph is above the x-axis for $(-\infty,0)$ and below for $(0,2)$ and $(2,\infty)$.
C. The graph is above the x-axis for $(-\infty, -6)$ and $(0,2)$ and below for $(-6,0)$ and $(2,\infty)$.
D. The graph is above the x-axis for $(-\infty, -6)$ and $(-2,2)$ and below for $(-6, -2)$ and $(2,\infty)$.
d. Determine the y-intercept.
The y-intercept is 
(Use a comma to separate answers as needed.)
Show more…
Does the graph cross, or touch but not cross the x-axis at the x-intercept - 2? The graph crosses the x-axis. The graph touches but does not cross the x-axis. Does the graph cross, or touch but not cross the x-axis at the x-intercept - 6? The graph touches but does not cross the x-axis. The graph crosses the x-axis. c. Use the zeros of f and test numbers to find the intervals over which the graph of f is above or below the x-axis. Choose the correct answer below. A. The graph is above the x-axis for (-∞,0) and below for (0, -2) and (-2,∞). B. The graph is above the x-axis for (-∞,0) and below for (0,2) and (2,∞). C. The graph is above the x-axis for (-∞, -6) and (0,2) and below for (-6,0) and (2,∞). D. The graph is above the x-axis for (-∞, -6) and (-2,2) and below for (-6, -2) and (2,∞). d. Determine the y-intercept. The y-intercept is (Use a comma to separate answers as needed.)

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Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
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Does the graph cross, or touch but not cross the x-axis at the x-intercept -2? The graph crosses the x-axis. The graph touches but does not cross the x-axis. Does the graph cross, or touch but not cross the x-axis at the x-intercept -6? The graph touches but does not cross the x-axis. The graph crosses the x-axis. c. Use the zeros of f and test numbers to find the intervals over which the graph of f is above or below the x-axis. Choose the correct answer below. A. The graph is above the x-axis for (-infty ,0) and below for (0,-2) and (-2,infty ). B. The graph is above the x-axis for (-infty ,0) and below for (0,2) and (2,infty ). C. The graph is above the x-axis for (-infty ,-6) and (0,2) and below for (-6,0) and (2,infty ). D. The graph is above the x-axis for (-infty ,-6) and (-2,2) and below for (-6,-2) and (2,infty ). d. Determine the y-intercept. The y-intercept is (Use a comma to separate answers as needed.) Does the graph cross, or touch but not cross the x-axis at the x-intercept --2? The graph crosses the x-axis. The graph touches but does not cross the x-axis. Does the graph cross, or touch but not cross the x-axis at the x-intercept --6? The graph touches but does not cross the x-axis. The graph crosses the x-axis. c.Use the zeros of f and test numbers to find the intervals over which the graph of f is above or below the x-axis Choose the correct answer below. OA.The graph is above the x-axis for-co,0and below for0,-2and-2,co OB.The graph is above the x-axis for-co,0and below for0,2and2,co. OC.The graph is above the x-axis for(-co,-6)and0,2and below for-6,0and2,co D.The graph is above the x-axis for-o,-6and-2,2and below for-6,-2)and (2,co d.Determine the y-intercept The y-intercept is (Use a comma to separate answers as needed.)
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Transcript

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00:02 This problem gives us the image of a graph and wants us to determine if it is a function or not, as well as the domain and range of the function, if it is a function, it intercepts, and if it has any symmetry.
00:13 So this is a function, so we can say yes, because it passes the vertical line test.
00:18 In other words, as we drag a line from left to right, we don't see this graph intersecting at anything other than one point or no points.
00:25 So it passes the vertical line test.
00:28 For our domain, that's the range of x values that we see.
00:32 And it looks like our x values begin at negative 3.
00:37 And then we don't see any issues with moving to the right, but we do see that this graph is starting to trend down.
00:46 And as we get closer and closer to the y axis, it looks like it is following what we can believe as a vertical asymptote at x equals 0.
00:55 So we can expect that that behavior, that that behavior is going to continue...
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