This paper discusses the number of intersections between the image of function y = x ^ 2-3 | x | + 7 and the image of function y = x ^ 2-3x + | x ^ 2-3x | + 6

This paper discusses the number of intersections between the image of function y = x ^ 2-3 | x | + 7 and the image of function y = x ^ 2-3x + | x ^ 2-3x | + 6


y=x^2-3|x|+7
for x >0
y=x^2-3x+7
for x



Draw the image of the following function, and judge whether the points in the braces are on the image of the function (1) y = 3x-1, {(0, - 1), (- 2, - 7),
(2.5,6.5)}


 
 
 
 
-1 = 3 * 0-1, so (0, - 1) is on the function image
-7 = 3 * (- 2) - 1, so (- 2, - 7) is on the function image
6.5 = 3 * 2.5-1, so (2.5,6.5) is on the function image



The intercept of the function y = - 5 + 2 on the Y axis is (). The area of the triangle bounded by the two coordinates is ()


The intercept on the Y axis is 2, the intercept on the X axis is 0.4, and the area of the triangle enclosed by the two coordinates is 1 / 2x2x0.4 = 0.4



What is the area of the triangle formed by the first-order function y = - 6 / 5x + 12 and the two axes?
The linear function is: minus six fifths x plus twelve
In particular, how to determine the intersection of two points on the axis


x=0,y=12
y=0,x=10
So the intersection is (0,12), (10,0)
This is a right triangle
So area = 12 * 10 / 2 = 60