Which graph represents the polynomial function g(x)=x3+x2−17x+15?
2 answers:
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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This is the solution of the equation, where a=1, b=-5, c=7
So the discriminant is :
b^2-4ac=25-4*7= -3
The square root of -3 is non-real, this both solutions are non-real.