Exponential function comparison formula How can I know the flow of money in the banker?

In principle, it is not recommended to replace halogen bulbs directly with LED bulbs. Generally speaking, halogen lamps use lenses or reflectors, so it involves a problem, how far away is the luminous point of the light source from the lampshade, according to the original halogen lamp is experimentally tested, if it is directly replaced with LED light source, the straight-line distance and angle of the lens or reflector from the light source may change, which will lead to changes in the irradiation range and angle, and the light effect will become worse and other adverse effects. If you directly replace the LED light source without heat dissipation treatment, the light source will be damaged by high temperature for a long time, which will affect the safety of driving at night.

It is recommended to go to a qualified 4S shop or car repair shop to replace the LED bulb.

Exponential functions. Common methods for comparing sizes: (1) Ratio difference (quotient) method:

2) functional monotonicity; (3) Intermediate value method: To compare the size of A and B, first find an intermediate value C, and then compare the size of A and C, B and C, and obtain the size between A and B by the transitivity of the inequality.

When comparing the magnitude of two powers, in addition to the general method described above, you should also pay attention to:

1) For the comparison of the magnitude of two powers with the same base and different exponents, the monotonicity of the exponential function can be used to judge.

For example: y1 = 3 4, y2 = 3 5, because 3 is greater than 1 so the function increases monotonically (i.e., the larger the value of x, the greater the corresponding value of y), because 5 is greater than 4, so y2 is greater than y1

2) For the comparison of the size of two powers with the same exponent with different bases, you can.

Exponential functions. It is judged by using the change law of the exponential function image.

For example: y1 = 1 2 4, y2 = 3 4, because 1 2 is less than 1, the function image decreases monotonically in the defined domain; 3 is greater than 1, so the function image increases monotonically in the defined domain, where x=0 is that both function images pass (0,1) and then as x increases, the y1 image decreases, and y2 rises, and when x is equal to 4, y2 is greater than y1

3) For the comparison of the magnitude of the power with different bases and different exponents, you can use the intermediate value to compare. Such as:

For the size comparison of three (or more) numbers, you should first group the values according to the size (especially the size of and ), and then compare the size of each group of numbers.

When comparing the size of two powers, if you can make full use of "1" to build a "bridge" (i.e., compare their size with "1"), you can get a quick answer. So how do you determine the magnitude of a power and "1"? From the image and properties of the exponential function, we can see that "the same is big and small".

That is, when the base A and 1 are in the same direction as the unequal sign between the exponent x and 0 (e.g., a 1 and x 0, or 0 a 1 and x 0), a x is greater than 1, and a x is less than 1 in the opposite direction

3 Example: Are the following functions increasing or subtracting on r? Explain why.

Analysis: y=a x(a>0 and a≠1).

1) a>1

When x>0, the larger a is, the greater y is.

At x<0, the larger a is, the smaller y is.

2) At 00, the greater the 1 a, the greater the y.

At x<0, the larger the 1 a, the smaller the y.

Don't worry about the comparison function, compare the logarithmic base number, look at the monotonicity if you are the same, and change the bottom if you are really the same.

It doesn't matter if the two are different, the median value will help you, 1 and 0 will be good or not, and it will definitely be easy immediately.

How to compare the size of the function, drawing an image is the easiest to .........

LZ's requirements are so high, big Mozi make one

Left and right infinitely up to the sky, forever and the horizontal axis does not touch, the big 1 increases, the small 1 decreases, and the image is constant over (0, 1) points.

This is mainly to find special values to compare, generally choose 1 to do the comparison item, for example, the size of the power and the power of the comparison is greater than 0, the base is greater than 0 and less than 1, it is the subtraction function, the base is greater than 1, it is the increase function, and then look at the power first, compare it with the power of 0, the exponent is greater than the index 0, but it is a subtraction function, so the power of the whole is less than the power of the 0, that is, less than 1 and then look at the power, the same method, the power of 0 is equal to 1, the index is greater than the index 0, it is the increasing function, so the power of the whole is greater than the power of 0, that is, greater than 1, then this is clearer, less than 1 and greater than 1 The result will also come out.

A gentleman focuses on concentration and is always attentive.

There are so many benefits to this! Whoever plays knows, the Tao is simple and enjoyable.

With fast mapping, the larger the a, the steeper the image.

0 a 1, the smaller a is, the steeper its image months

Exponential function and power function can solve exponential size comparison Exponential function solves the same base, and power function solves the same finger.

There are three main ways to compare sizes: Method 1 Using Function Motonicity Method 2 Image Method.

Method 3 With the help of intermediary value -1 0 1 Main test method 1 in the college entrance examination Method 3

There is no general size relationship, and for specific functions, draw a graph to compare the size specifically.

This is a seemingly easy question

Logarithmic function: 1When the same bottom is done directly, you can combine to see the result;

2.Different bottoms are based on the formula of changing the bottom, first changing the bottom and then doing division comparison;

The formula for changing the bottom should work, right!? ）

The exponent and power functions are simple, and the division comparison is done directly!!

If it's a question on the number of points, it's a different story.