High school all function images and their properties knowledge points

The coefficient k of x in

is known as the slope of the primary function. The geometric significance of the slope k is: the tangent of the angle of inclination of the line corresponding to the primary function. That is, k = tanα (where α is the angle of inclination of the line).

The constant term b in the primary function y=kx+b (k, b are constants, k ≠ 0) is known as the intercept of the primary function on the y-axis, and is often abbreviated as the intercept. According to the geometric significance of the intercept, "intercept" is not "distance", it can be positive, negative, can be 0.

The function image of the primary function is a straight line, according to the "two points to determine a straight line According to the axiom "two points make a line", we only need to choose two different points on the primary function, and then draw a line through these two points to get the image of the primary function.

In order to better reflect the key details of the drawn image of the primary function, the two points selected in the exam graphing questions are mostly the intersection of the straight line and the x and y axes, that is, (0,b) and (-b/k,0).