Consider the function y = an
If a < -1 it oscillates between negative and positive values, with the oscillations increasing.
If a = -1, it oscillates between -1 and 1.
If -1 < a < 0 it oscillates between negative and positive values, with the oscillations deceasing.
if 0 < a < 1, it is decreasing.
If a = 1, it is 1 for all n
If a > 1, it is increasing.
You must find the slope, if it is positive, then the line is always increasing. If it is negative, then the line is always decreasing.
Exponential growth has a growth/decay factor (or percentage decimal) greater than 1. Decay has a decay factor less than 1.
If the function is a one-to-one function, therefore it has an inverse.
if a certain abscissa corresponds to more than one ordinate, then it is not a function.
You can tell if a function is even or odd by looking at its graph. If a function has rotational symmetry about the origin (meaning it can be rotated 180 degrees about the origin and remain the same function) it is an odd function. f(-x)=-f(x) An example of an odd function is the parent sine function: y=sinx If a function has symmetry about the y-axis (meaning it can be reflected across the y-axis to produce the same image) it is an even function. f(x)=f(-x) An example of an even function is the parent quadratic function: y=x2
Differentiate the curve twice and then enter a value for x. If the answer is positive, the gradient is increasing at that point. If the answer is negative, the gradient is decreasing at that point. And if the answer is zero, the gradient is not changing.
If you want to find the initial value of an exponential, which point would you find on the graph?
You must find the slope, if it is positive, then the line is always increasing. If it is negative, then the line is always decreasing.
You can tell if the moon is increasing or decreasing in light by observing its shape in the sky. During a waxing moon, it will appear to be growing larger, while during a waning moon, it will appear to be shrinking. Additionally, a waxing moon will be visible in the evening, while a waning moon will be visible in the morning.
it slopes downward. it has a negative slope. it it really high when it is close to zero but gets really low as the x-value goes greater.
A linear function, of a variable x, is of the form ax+b where a and b are constants. A non-linear function will have x appearing in some other form: raised to a power other than 1, or in a trigonometric, or exponential or other form.
Only if you know your location (the coordinate on the distance scale and the time scale) where "you" are can you infer if the object is moving towards you (the absolute distance to the object is decreasing) or away from you (the distance is increasing).
Exponential growth has a growth/decay factor (or percentage decimal) greater than 1. Decay has a decay factor less than 1.
It is not enough to look at the base. This is because a^x is the same as (1/a)^-x : the key is therefore a combination of the base and the sign of the exponent.0 < base < 1, exponent < 0 : growth0 < base < 1, exponent > 0 : decaybase > 1, exponent < 0 : decaybase > 1, exponent > 0 : growth.
10,000,000,000 in exponential form is ten to the tenth. You can tell this by counting the zeroes in the number.
A number is not a function.
I'm not sure how you managed to get your equation into a table form. So perhaps try multiply each pronumeral by an exponential of the index of the third pronumeral cow