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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.
What else can I help you with?
How can you tell from a linear equation which direction it goes without graphing the equation?
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.
How do you tell if its exponential growth or decay?
Exponential growth has a growth/decay factor (or percentage decimal) greater than 1. Decay has a decay factor less than 1.
What does the horizontal line tell you about a function?
If the function is a one-to-one function, therefore it has an inverse.
How can you tell by looking at a graph if the represntation is a function?
if a certain abscissa corresponds to more than one ordinate, then it is not a function.
How do you tell if a function is even or odd?
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
How can you tell whether the gradient of a curve is increasing or decreasing?
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.
What does the slope tell you about a function?
If you want to find the initial value of an exponential, which point would you find on the graph?
How can you tell from looking at an elation if the equation represents experiential growth or decay?
To determine if an equation represents exponential growth or decay, look at the base of the exponential function. If the base is greater than 1 (e.g., (y = a \cdot b^x) with (b > 1)), the function represents exponential growth. Conversely, if the base is between 0 and 1 (e.g., (y = a \cdot b^x) with (0 < b < 1)), the function indicates exponential decay. Additionally, the sign of the exponent can also provide insight into the behavior of the function.
How can you tell from a linear equation which direction it goes without graphing the equation?
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.
How do you know if the moon is increasing or decreasing in the amount of light?
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.
How can you tell if a graph could be an exponential decay function?
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.
How to tell the difference of a linear and non linear function without it on a graph?
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.
How do you tell if its exponential growth or decay?
Exponential growth has a growth/decay factor (or percentage decimal) greater than 1. Decay has a decay factor less than 1.
How can you tell on a distance time graph if the object is moving towards or away from you?
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).
How can you tell if an exponential function is exponential growth or decay by looking at its base?
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.
How can you tell if a number is a function?
A number is not a function.
What is the exponent form of 10000000000?
10,000,000,000 in exponential form is ten to the tenth. You can tell this by counting the zeroes in the number.
