Why must a of exponential function be greater than zero? Why is the number negative again?

Because exponential functions with negative bases are discontinuous

Why does exponential function a have to be greater than 0?

For the exponential function y = a ^ x, if a < 0, it will produce a positive and negative situation in the study, which is difficult to study. However, if a = 0, as long as X is not equal to 0, y is equal to 0, it is not studied. Therefore, a > 0 in y = a ^ x is not studied

Why is a greater than 0 and not equal to 1 in the exponential function y = a ^ x? If a is negative, what about the image? When a is negative and X is a fraction, what happens to y?

If A0
If a = 1, then y = 1 ^ x is a constant function

Why is the value of a of exponential function greater than zero, if less than zero

The significance of each part of index x
1. Positive and negative sign: negative sign means reciprocal
2. The numerator is the power
3. The denominator indicates the root
If the denominator of the exponent x is even, the base a cannot be negative

Why can the base number of a function be negative, such as - 3 to the power of - 27, while the base of an exponential function cannot be less than 0?

If the ground of the exponential function is - 2, (- 2) to the power of X, where x will not be equal to 1 / 4 / 6 of 2... But can be equal to 1 / 3 / 5 / 1 / 7?

The comparison size of exponential function is: (0.8) to the negative quadratic power and five third to the negative half power As the title

Image solution with exponential function
Draw the images of the two functions on a function graph, y = (0.8) to the negative quadratic power; y = five thirds to the negative half power
And then you can see it
The negative half power of five thirds is greater than the negative quadratic power of (0.8)

Given that the cube root of X-7 is half x, find the square root of X-7

The arithmetic square root of x 1 is 2 x = 3 x-3y-18, and the cube root of Y is - 3 y = 4 X. the cube root of x = 3 x-3y-18 is - 3, which means (x-3y-18) = - 3
What is calculated above, up to now also can't understand!

Y = - 1.8 to the x power. The base of this function is 1.8. Why is it not an exponential function?

The exponential function of high school students is positive input. Negative number does not conform to the law of image

Given the cubic power of (1 / 2 x + 3) - 125 = 0, we can use square root and so on

﹙1／2X＋3﹚³-125=0
﹙1／2X＋3﹚³=125
1／2X＋3=5
X=4

If the difference between the maximum value and the minimum value of the exponential function y = ax on [- 1, 1] is 1, then the base number a is equal to () A. 1+ Five Two B. −1+ Five Two C. 1± Five Two D. 5±1 Two

When a > 1, the function y = ax is an increasing function in the domain [- 1, 1],  a-a-1 = 1, a = 1+
Five
2，
When 1 > a > 0, the function y = ax is a decreasing function in the domain [- 1, 1], a-1-a = 1, a = − 1+
Five
2，
Therefore, D

Why must a of exponential function be greater than zero? Why is the number negative again?