First of all, we know that the function y=5x is a proportional function. When x takes all real numbers, its image looks like a straight line.
When 0≤x≤2, the image with y=5x is a line segment, just find the endpoint of the line segment.
Take x=0, then y = 0;; If x=2, then y= 10. So trace the points O (0 0,0) and A(2, 10) and connect OA.
Second question: when x > 2? How to draw an image with Y=4X+2?
First of all, we know that the function y=4x+2 is a linear function. When x takes all real numbers, its image is like a straight line.
When x > 2, the image of y=4x+2 is a ray (excluding the endpoint).
Then you just need to find the endpoint of the ray and any other point on the ray.
If x=2, then y =10; Take it again (note: x > 2)? x=3,y= 14。
Trace points A(2, 10) and B(3, 14) and make ray AB. Note: endpoint a should become a hollow point.