renee9913
13.11.2020 •
Mathematics
What are the points of intersection between the graphs of the functions f(x) = x²(x + 1) and g(x) = x + 1?
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Ответ:
The points of intersection of two functions are required.
The points of intersection are and .
The given functions are
Equating them with each other
Substitute the value in one of the functions.
The points of intersection are and .
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Ответ:
(x1,y1) = (1, 2)
(x2,y2) = (-1,0)
Step-by-step explanation:
Given: f(x) = x²(x + 1) and g(x) = x + 1
To find the intersection, then set functions equal to each other to solve for x first.
x²(x + 1) = x + 1; divide by (x+1) from both sides
= 1; take the square root to both sides
x = ±1;
The graphs intersect at two points (x1,y1) and (x2,y2)
Use x=1
f(1) = x²(x + 1) = (1+1) = 2
g(1) = x + 1 = 1 + 1 = 2
(x1,y1) = (1, 2)
Use x= -1
f(-1) = x²(x + 1) = (-1+1) = 0
g(-1) = x + 1 = -1 + 1 = 0
(x2,y2) = (-1,0)
Ответ:
A.
Step-by-step explanation:
your equation has no exponents, it is linear.