Answer:
- 7/8
Step-by-step explanation:
m = Δy/Δx = (10-3)/(2-10) = - 7/8
The graphed polynomial seems to have a degree of 2, so the degree can be 4 and not 5.
<h3>
Could the graphed function have a degree 4?</h3>
For a polynomial of degree N, we have (N - 1) changes of curvature.
This means that a quadratic function (degree 2) has only one change (like in the graph).
Then for a cubic function (degree 3) there are two, and so on.
So. a polynomial of degree 4 should have 3 changes. Naturally, if the coefficients of the powers 4 and 3 are really small, the function will behave like a quadratic for smaller values of x, but for larger values of x the terms of higher power will affect more, while here we only see that as x grows, the arms of the graph only go upwards (we don't know what happens after).
Then we can write:
y = a*x^4 + c*x^2 + d
That is a polynomial of degree 4, but if we choose x^2 = u
y = a*u^2 + c*u + d
So it is equivalent to a quadratic polynomial.
Then the graph can represent a function of degree 4 (but not 5, as we can't perform the same trick with an odd power).
If you want to learn more about polynomials:
brainly.com/question/4142886
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find the gradient = change in y/change in X
-5 - -3/-3 - -6
= -2/3
take any two point say -3,-5 and equate to the gradient
Y - 5 /X - 3 = -2/3
cross multiply
3y - 15 = -2x + 6
3y = -2x +6 + 15
3y = -2x + 21
y = -2/3x +7
