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What does the rule for a quadratic function tell you about how the graph of the function will look?
If the quadratic function is written as ax2 + bx + c then
if a > 0 the function is cup shaped and if a < 0 it is cap shaped.
(if a = 0 it is not a quadratic)
if b2 > 4ac then the equation crosses the x-axis twice.
if b2 = 4ac then the equation touches the x-axis (is a tangent to it).
if b2 < 4ac then the equation does not cross the x-axis.
What else can I help you with?
What is a quadratic function is a function whose rule is a polynomial of degree what?
A polynomial of degree 2.
What is the relationship of a domain and a function?
A function is a rule that assigns a single value to each element in a domain.A function is a rule that assigns a single value to each element in a domain.A function is a rule that assigns a single value to each element in a domain.A function is a rule that assigns a single value to each element in a domain.
What does function rule mean in math?
The rule of a function in math is what relates the input value to the output value. For example, if f(x) = x2, the "function rule" is to square the input value to get the output value.
What is the nth term rule of the quadratic sequence 7 14 23 34 47 62 79 . . .?
It is T(n) = n2 + 4*n + 2.
What is a piece-wise function?
for a piecewise function, the domain is broken into pieces, with a different rule defining the function for each piece
Is quadratic sequence exponential function?
No. It is a sequence for which the rule is a quadratic expression.
A quadratic function is a function whose rule is a polynomial of degree what?
Oh honey, a quadratic function is a function whose rule is a polynomial of degree 2. It's like the middle child of polynomials - not too simple, not too complex, just right. So next time you see that squared term, you know you're dealing with a quadratic function, sweetie.
What is a quadratic function is a function whose rule is a polynomial of degree what?
A polynomial of degree 2.
What is a function rule?
how you get x to equal y. it is usually in a graph
What are the three views of a function?
rule, table of values and graph
Draw sketch and write the function of dumper winding and retaining ring?
i need to know how to function rule and a sketch of a graph
How putting a equation into Quadratic equation?
You just have to follow the rule of quadratic functions. Example y = mx+b is the rule for linear functions. ax^2+bx+c is the rule of quadratic equation.
What are the steps for finding a function rule if you are given the graph of a function?
In general, it is impossible. You could try putting together a data set using as many of the points as possible from the graph. Then try various regressions. You may have to perform transformations on the data if the function rule is not straightforward. This could require some very high level statistical techniques. You could be lucky and the graph is a straight line!
What a function rule?
As you get to harder and higher analysis of functions, it's not required. A function rule, apparently, is an equation that represents a function. A function, properly defined, is its graph. A graph is a subset of a plane, where it's the set of all points (a, b), and for every value a, f(a) = b is the definition of a function. So you can get a plane, squible some lines that's not over lapping, you get a function. How the HELL do you get an equation for that? Hence, the function is kinda useless? No! Function equations can help us making analysis of those that does have one. In terms of derivatives, limits etc.
Would it be easier to find the rule for a function table with 3 pairs of numbers or 4 pairs of numbers?
If it's a linear function, 3 should do, but 4 will give an extra check on you work. If the function is quadratic exponential, etc. then at least 4 pairs should be used.
What criteria must be met in order for a function to be considered linear?
A function is considered linear if it follows the rule of proportionality, meaning that the relationship between the input and output values is constant and can be represented by a straight line on a graph.
Find the rule for each function table?
Well, look for a continuing pattern. Once you find one that makes sense for each value, write it into an equation....look at example below x- 2,4,6,8 y- 4,16,36,64 the rule for this function is y=x squared.
