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Are a polynomial's factors the values at which the graph of a polynomial meets the y-axis?
Not quite. The polynomial's linear factors are related - not equal to - the places where the graph meets the x-axis. For example, the polynomial x2 - 5x + 6, in factored form, is (x - 2) (x - 3). In this case, +2 and +3 are "zeroes" of the polynomial, i.e., the graph crosses the x-axis. That is, in an x-y graph, y = 0.
Is -4x a polynomial?
Yes, -4x is a polynomial. A polynomial is an expression that consists of variables raised to non-negative integer powers, multiplied by coefficients. In this case, -4 is the coefficient and x is the variable raised to the first power, which meets the criteria for a polynomial. Thus, -4x is a linear polynomial.
When do you say that a graph is a function?
In simple terms, if a vertical line meets a graph in more than one place it is not a function.
How do you know when a graph is not a function?
A function cannot have any value of x mapped to more than one vaue of y. So, if any line parallel to the y-axis meets the graph at more than 1 points it is not a function.
What does it mean if the roots of a quadratic equation are real?
It means that they can be represented by real numbers or lengths along the number line. It means that the graph of the quadratic crosses (meets) the horizontal axis.
Are a polynomial's factors the values at which the graph of a polynomial meets the x-axis?
false
Is it true that a polynomial's real roots are the values at which the graph of a polyomial meets the x-axis?
Yes.
Are a polynomial's factors the values at which the graph of a polynomial meets the y-axis?
Not quite. The polynomial's linear factors are related - not equal to - the places where the graph meets the x-axis. For example, the polynomial x2 - 5x + 6, in factored form, is (x - 2) (x - 3). In this case, +2 and +3 are "zeroes" of the polynomial, i.e., the graph crosses the x-axis. That is, in an x-y graph, y = 0.
Is -4x a polynomial?
Yes, -4x is a polynomial. A polynomial is an expression that consists of variables raised to non-negative integer powers, multiplied by coefficients. In this case, -4 is the coefficient and x is the variable raised to the first power, which meets the criteria for a polynomial. Thus, -4x is a linear polynomial.
Why does f represent the graph of a function?
Because each vertical lines meets its graph in a unique point.
When do you say that a graph is a function?
In simple terms, if a vertical line meets a graph in more than one place it is not a function.
What does y intercept mean?
anywhere a line, on a graph, meets with the y axis
When does a graph represents a function?
take a vertical line, if another line intersects that vertical line at 2 points, then it is a function.In other words,a graph represents a function if each vertical line meets its graph in a unique point.
How would you gaph the equation y equals 2x minuis3?
You know that y = 2x - 3, so to draw the graph: (a) You work out where this equation meets the horizontal axis of the graph and put a mark there. (b) You also work out where it meets the vertical axis of the graph and put a mark there. You then draw a straight line through the two points which carries on on either side. For (a) the equation meets the horizontal axis when y = 0. You know that y = 2x - 3, so put y = 0 into this equation. 0 = 2x - 3 -> 3 = 2x -> x = 1.5 So the line meets the horizontal axis when x = 1.5 For (b) the equation meets the vertical axis when x = 0 So again put that into y = 2x - 3 So y = 2*0 - 3 -> y = -3 So the line meets the vertical axis when y = -3. Draw a line through these two points (1.5,0) and (0,-3) and there you have your graph.
What is the name of the girl Guy Montag meets?
The girl Guy Montag meets is named Clarisse McClellan. She is a curious and free-spirited teenager who questions the society's values and norms.
How do you know when a graph is not a function?
A function cannot have any value of x mapped to more than one vaue of y. So, if any line parallel to the y-axis meets the graph at more than 1 points it is not a function.
What does it mean if the roots of a quadratic equation are real?
It means that they can be represented by real numbers or lengths along the number line. It means that the graph of the quadratic crosses (meets) the horizontal axis.
