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The difference between linear function and positive proportion function In terms of fractions and fractions, it is known that the positive proportion function is y = KX and the primary function is y = KX + B. why is s = 10 / y not a primary function or a positive proportion function, while y = 1 / 2ah seems to have no B, but it is both a positive proportion function and a primary function? What is y = 1 / 2A?
Judge what function it is, look at the independent variables
Linear function: the exponent of the independent variable is 1
Positive proportional function: a special case of a linear function
In the function s = 10 / y, the independent variable is y and its exponent is - 1, so it is not a linear function
The function y = 1 / 2 ah, the independent variable is h, and its exponent is 1, so it is a linear function (because the constant term B = 0 is also a positive proportional function)
Pay attention to distinguish the constant and the independent variable in the function expression, y = 1 / 2 ah. Because a is not a variable, it can be rewritten as y = (1 / 2 a) h, where (1 / 2 a) is equivalent to K in y = KX, so y = (1 / 2 a) H is a linear function (also a positive proportional function)
If a is not a variable, y = 1 / 2 A is not a function; if a is a variable, y = 1 / 2 A is a linear function (also a positive proportional function)
RELATED INFORMATIONS
- 1. What is the difference between linear function and positive proportion function? What are the similarities?
- 2. What is the difference between linear function and positive proportion function?
- 3. Second grade positive proportion function online, etc If Y-2 is positively proportional to x + 2 and x = 0, y = 6. Write the functional relationship between Y and X Is it y = 2x + 6?
- 4. On the positive proportion function of grade two As shown in the figure, the line L is parallel to the Y axis and intersects with the image of the function y = x.x axis and the function y = KX at points a, B and C respectively. If the triangle BOC = 2 and the triangle AOB, then the value of K is?
- 5. Positive proportion function in grade two of junior high school (just learned today) If the function y = (k-1) x 3K + 5 is a positive proportional function, the value of K is obtained Note: (k-1) x (not a multiplication sign) the degree of X is 3K + 5
- 6. A problem of positive proportion function in grade two of junior high school It is known that y + m is proportional to x-n, and when x = 2, y = 3; when x = 1, y = - 5. Find the value of y when x = - 1
- 7. Positive proportion judgment Divide the number a by the number B, and the result is three. The number a and the number B must be in positive proportion. Is that right?
- 8. Positive and negative proportion judgment questions When the product of two variables is constant, they are inversely proportional () 2. In the formula 7x-y = 0, X is proportional to y () 3. Planting a lawn, the area that has been planted is inversely proportional to the area that has not been planted () 4. The two related quantities are in direct proportion but also in inverse proportion 5. When XY is reciprocal to each other, X is inversely proportional to y () 6. When the difference is constant, the subtracted is in direct proportion to the subtracted ()
- 9. Why is it wrong and right (1) The distance is proportional to the time (2) The edge length of a cube is proportional to its volume (3) 40% of a and B. A and B are in direct proportion (4) The base of a parallelogram is 8 cm. Its area is proportional to its height Are the above four judgment questions right or wrong` Why is it wrong and why is it right`` (3) A is 40 percent of B. A and B are in direct proportion. （ ） I wrote the third question wrong last time
- 10. The distance is not proportional to the time!
- 11. What is the difference between positive proportional function and linear function?
- 12. We know that y is a positive proportional function of X, and when x = 3, y = - 6; find its analytic formula; if point a (m, M + 3) is a point on its image, find the value of M
- 13. The image of positive scale function passes through points P (3, - 2) and Q (m, - M + 2) (1) Write the analytic expression of positive proportion function (2) Write the value of M (3) Draw an image of this function
- 14. The image of a positive scale function passes through point a (negative 2,3) to write the expression of the function Let the image of a positive scale function pass through point a (negative 2,3) and write the expression of the function. Let the analytic expression of the positive scale function be y = KX Substituting the point (- 2,3) into the analytic expression, we get 3 = - 2K, and the solution is k = - (3 / 2) So the analytic expression of the function is y = - (3 / 2) X
- 15. The image of a positive scale function passes through a point (2, - 3). Its expression is () A. y＝−32xB. y＝23xC. y＝32xD. y＝−23x
- 16. The image of the positive scale function passes through the point a (- 2,1 / 2) B (6, m), and the analytic expression of the function is obtained
- 17. Given that the image of a positive scale function passes through a point (- 1,2), (1) find the analytic expression of the positive scale function; (2) is the point (2, - 5) on the image of the function?
- 18. If the image of positive scale function is known to pass through points (3,2), (a, 6), the value of a is obtained It's due tomorrow,
- 19. If the point (3,6) is on the image of a positive scale function, the expression of the positive scale function is
- 20. As shown in Figure 1, it is known that the images of positive scale function and inverse scale function all pass through the point m (- 2, - 1), and P (- 1. - 2) is a point on the hyperbola, and Q is the coordinate plane