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How do you use rates of change and concavity to determine which polynomial type would best model a scatter plot of data?
To determine the best polynomial type for modeling a scatter plot, you can analyze the rates of change and concavity of the data points. If the scatter plot shows a constant rate of change and linear behavior, a linear polynomial (degree 1) may suffice. If the rate of change varies but remains consistent in one direction (e.g., increasing or decreasing), a quadratic polynomial (degree 2) might be appropriate. For more complex patterns with varying rates and changing concavity, higher-degree polynomials may be needed to accurately fit the data.
What else can I help you with?
What is the term in a polynomial without a variable.?
The term in a polynomial without a variable is called a "constant term." It represents a fixed value and does not change with the variable's value. For example, in the polynomial (3x^2 + 2x + 5), the constant term is (5).
How do you graph a polynomial?
Basically the same way you graph most functions. You can calculate pairs of value - you express the polynomial as y = p(x), that is, the y-values are calculated on the basis of the x-values, you assign different values for "x", and calculate the corresponding values for "y". Then graph them. You can get more information about a polynomial if you know calculus. Calculus books sometimes have a chapter on graphing equations. For example: if you calculate the derivative of a polynomial and then calculate when this derivate is equal to zero, you will find the points at which the polynomial may have maximum or minimum values, and if you calculate the derivative at any point, you'll see whether the polynomial increases or decreases at that point (from left to right), depending on whether the derivative is positive or negative. Also, if you calculate when the second derivative is equal to zero, you'll find points at which the polynomial may change from convex to concave or vice-versa.
What is taking the derivative?
It means to determine the difference or rate of change of the function.
How do you find an equation for a function table?
To find an equation for a function table, first identify the relationship between the input (x) and output (y) values by observing patterns or changes in the table. Determine if the relationship is linear, quadratic, or follows another pattern. For linear relationships, calculate the slope using the change in y over the change in x, and then use a point to find the y-intercept. For more complex relationships, try fitting a polynomial or other function type based on the observed values.
Why is one degree polynomial equation ax plus by plus c equals 0 called lenear equation?
Yes. This is because the rate of change is equal to a (i.e. the slope is a). a never changes, so its linear.
What is the best graph to show temperature change?
Scatter graph i think. Hope that helps!
When sheep go into the hills and scatter will it rain?
sheep can't psychically make the weather change
How do you do a polynomial?
Basically the same way you graph most functions. You can calculate pairs of value - you express the polynomial as y = p(x), that is, the y-values are calculated on the basis of the x-values, you assign different values for "x", and calculate the corresponding values for "y". Then graph them. You can get more information about a polynomial if you know calculus. Calculus books sometimes have a chapter on graphing equations. For example: if you calculate the derivative of a polynomial and then calculate when this derivate is equal to zero, you will find the points at which the polynomial may have maximum or minimum values, and if you calculate the derivative at any point, you'll see whether the polynomial increases or decreases at that point (from left to right), depending on whether the derivative is positive or negative. Also, if you calculate when the second derivative is equal to zero, you'll find points at which the polynomial may change from convex to concave or vice-versa.
How do you graph a polynomial?
Basically the same way you graph most functions. You can calculate pairs of value - you express the polynomial as y = p(x), that is, the y-values are calculated on the basis of the x-values, you assign different values for "x", and calculate the corresponding values for "y". Then graph them. You can get more information about a polynomial if you know calculus. Calculus books sometimes have a chapter on graphing equations. For example: if you calculate the derivative of a polynomial and then calculate when this derivate is equal to zero, you will find the points at which the polynomial may have maximum or minimum values, and if you calculate the derivative at any point, you'll see whether the polynomial increases or decreases at that point (from left to right), depending on whether the derivative is positive or negative. Also, if you calculate when the second derivative is equal to zero, you'll find points at which the polynomial may change from convex to concave or vice-versa.
How does water scatter light?
Water molecules scatter light because they are smaller than the wavelength of visible light. When light enters water, it interacts with the molecules, causing it to change direction and spread out in different directions. This scattering of light is what makes the water appear clear or transparent.
Why do light waves scatter?
Light waves can scatter when they encounter particles or irregularities in a medium. This scattering can occur due to interactions with the electrons in the particles, causing the light to change its direction and spread out in different directions. The degree of scattering can depend on factors like the size of the particles and the wavelength of the light.
How can one determine velocity from impulse?
To determine velocity from impulse, you can use the formula: Impulse Force x Time Change in Momentum. By knowing the impulse and the mass of the object, you can calculate the change in momentum. Then, by dividing the change in momentum by the mass of the object, you can determine the velocity.
What is the most important question to ask determine whether a change is a physical or chemical change?
did the composition change
How do you determine motion?
There are various ways to determine motion. The common way is having a reference point and the change from that position is what will determine the motion.
A polynomial has one root the equals 4 plus 17i name one other root of this polynomial?
There is not enough information. You can't calculate one root on the basis of another root. HOWEVER, if we assume that all the polynomial's coefficients are real, then if the polynomial has a complex root, then the complex conjugate of that root (in this case, 4 - 17i) must also be a root.
Why does pineoil change color when it is in water?
It easily forms an emulsion. The tiny suspended droplets scatter the light (Tyndall effect) and make the mixture look milky.
How would you determine the kind of change of a body?
Puberty.
