Answer:
Graph A.
Step-by-step explanation:
Given the inequality:
Since the sign is "less than or equal to", the line cannot be dotted. Therefore, Options C and D are incorrect.
Since the sign is a "less than" sign, the required region must be below the line. Therefore, the graph which shows the given inequality is Graph A.
The graph which represents the polynomial function g(x) is:
the 2nd graph in the second line
Step-by-step explanation:
g(x) = x³ + x² - 17x + 15 is a cubic function because the greatest power
of x is 3
All graphs represent cubic functions
So to find which graph which represents g(x) we will do these steps
1. Put x = 0 to find the y-intercept
2. If there are more than one graph have the same y-intercept we will
find the maximum and the minimum points of the cure
3. If you still don't know which graph find the x-intercepts
Now let us find the graph which represents g(x)
∵ g(x) = x³ + x² - 17x + 15
∵ x = 0
∴ g(0) = (0)³ + (0)² - 17(0) + 15
∴ g(0) = 15
∵ g(0) is the y-intercept
∴ The graph intersect the y-axis at point (0 , 15)
There is only one graph intersects y-axis at point (0 , 15)
The attached figure is the graph of g(x)
The graph which represents the polynomial function g(x) is:
the 2nd graph in the second line
Learn more:
you can learn more about functions in brainly.com/question/10541435
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