30 points! Inflection points question. Okay, so I know that an inflection point is where the function is continuous and the conc
avity changes. On the graph I attached, it is asking to: "Use the graph of f "(x) below to state x-coordinates of the inflection points for the graph of f(x)."
Am I supposed to find the concavity changes of f(x) or of f"(x)? Also, do I give the x coordinate or the y coordinate when writing my answer.
Am I supposed to find the concavity changes of f(x) or of f"(x)? Also, do I give the x coordinate or the y coordinate when writing my answer.
1 answer:
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This equation is written in slope intercept form
Remember that the slope intercept formula is:
y = mx + b
m is the slope
b is the y-intercept
In this case:
slope (m) is 2
y-intercept (b) is (0, - 1)
To plot this on a coordinate plane plot the y-intercept (0, -1).
To graph the rest of the line you can use what you know about the slope. Rise up two units and over to the right one unit from the y-intercept. You should arrive at the point (1, 1)
Then, again from the y-intercept, go down two units and to the left one unit. You should arrive at the point (-1, -3)
Now draw a straight line through the y-intercept and the other two points you just found
The image of the graph is shown below
Hope this helped!
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