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How do you use the discriminant to find the number and type of zeros of a function?
If the discriminant is positive, then the function has two real zeros. If it is zero, then the function has one real zero. If it is negative, then it has two complex conjugate zeros.
This assumes that we are talking about a standard second order polynomial equation, i.e. quadratic equation, in the form Ax2 + Bx + C = 0, and that the discriminant is B2 - 4AC, which is a part of the standard solution of these kind of equations.
What else can I help you with?
How do you find the discriminant of a function?
To find the discriminant of a quadratic function, first express it in descending powers, thusax^2 + bx + c = 0 where a, b and c are real and a is non-zero.Then the discriminant is b^2 - 4ac
Use the graphing calculator to graph and find the zeros of the function y 2x2 plus 0.4x and ndash 19.2. The zeros of the function are?
To find the zeros of the function ( y = 2x^2 + 0.4x - 19.2 ), you can use a graphing calculator to graph the equation. The zeros are the x-values where the graph intersects the x-axis (where ( y = 0 )). By using the calculator's zero-finding feature, you should find the approximate values for ( x ). The zeros of the function are the solutions to the equation ( 2x^2 + 0.4x - 19.2 = 0 ).
How do you find how many x intercepts the parabola has using the discriminant?
If the discriminant is negative, there are 0 interceptsIf the discriminant is zero, there is 1 interceptIf the discriminant is positive, there are 2 intercepts
What is a discriminant and how does help to solve equations?
In the quadratic formula, the discriminant is b2-4ac. If the discriminant is positive, the equation has two real solutions. If it equals zero, the equation has one real solution. If the discriminant is negative, it has two imaginary solutions. This is because you find the square root of the discriminant and add or subtract it from -b and divide the sum or difference by 2a. If the square root is of a positive number, then you get two different solutions, one from adding the discriminant to -b and one from subtracting the discriminant from -b. If the square root is of zero, then it equals zero, and the solution is -b/2a. If the square root is of a negative number, then you have two imaginary solutions because you can't take the square root of a negative number and get a real number. One solution is from subtracting the discriminant from -b and dividing by 2a, and the other is from adding it to -b and dividing by 2a. The parabola on the left has a positive discriminant. The parabola in the middle has a discriminant of zero. The parabola on the right has a negative discriminant.
State whether the following is a polynomial function give the zero s of the function if the exist f x x 2-6x plus 8?
The function ( f(x) = x^2 - 6x + 8 ) is a polynomial function because it is a quadratic expression. To find the zeros, we can factor it as ( (x - 2)(x - 4) ), which gives us the zeros ( x = 2 ) and ( x = 4 ). Thus, the zeros of the function are 2 and 4.
How do you find the discriminant of a function?
To find the discriminant of a quadratic function, first express it in descending powers, thusax^2 + bx + c = 0 where a, b and c are real and a is non-zero.Then the discriminant is b^2 - 4ac
What are the zeros of the quadratic function f(x) 6x2 12x 7?
To find the zeros of the quadratic function ( f(x) = 6x^2 + 12x + 7 ), you can use the quadratic formula ( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} ). Here, ( a = 6 ), ( b = 12 ), and ( c = 7 ). Calculating the discriminant ( b^2 - 4ac ) gives ( 12^2 - 4(6)(7) = 144 - 168 = -24 ), which is negative. Therefore, the function has no real zeros; the zeros are complex numbers.
How can you use the zeros of a function to find the maximum or minimum value of the function?
You cannot. The function f(x) = x2 + 1 has no real zeros. But it does have a minimum.
How can you use a graph to find zeros of a quadratic function?
The zeros of a quadratic function, if they exist, are the values of the variable at which the graph crosses the horizontal axis.
Use the graphing calculator to graph and find the zeros of the function y 2x2 plus 0.4x and ndash 19.2. The zeros of the function are?
To find the zeros of the function ( y = 2x^2 + 0.4x - 19.2 ), you can use a graphing calculator to graph the equation. The zeros are the x-values where the graph intersects the x-axis (where ( y = 0 )). By using the calculator's zero-finding feature, you should find the approximate values for ( x ). The zeros of the function are the solutions to the equation ( 2x^2 + 0.4x - 19.2 = 0 ).
Find the discriminant for 2x2 - 3x - 5 0?
The discriminant is 49.
How do you figure out how many real zeros a problem has?
To find the number of real zeros of a function, you can use the Intermediate Value Theorem and graphing techniques to approximate the number of times the function crosses the x-axis. Additionally, you can apply Descartes' Rule of Signs or the Rational Root Theorem to analyze the possible real zeros based on the coefficients of the polynomial function.
How do you find how many x intercepts the parabola has using the discriminant?
If the discriminant is negative, there are 0 interceptsIf the discriminant is zero, there is 1 interceptIf the discriminant is positive, there are 2 intercepts
What is a discriminant and how does help to solve equations?
In the quadratic formula, the discriminant is b2-4ac. If the discriminant is positive, the equation has two real solutions. If it equals zero, the equation has one real solution. If the discriminant is negative, it has two imaginary solutions. This is because you find the square root of the discriminant and add or subtract it from -b and divide the sum or difference by 2a. If the square root is of a positive number, then you get two different solutions, one from adding the discriminant to -b and one from subtracting the discriminant from -b. If the square root is of zero, then it equals zero, and the solution is -b/2a. If the square root is of a negative number, then you have two imaginary solutions because you can't take the square root of a negative number and get a real number. One solution is from subtracting the discriminant from -b and dividing by 2a, and the other is from adding it to -b and dividing by 2a. The parabola on the left has a positive discriminant. The parabola in the middle has a discriminant of zero. The parabola on the right has a negative discriminant.
How do you find the real zeros of a cubic function without a calculator?
In general, there is no simple method.
How do you find the zeros of any given polynomial function?
by synthetic division and quadratic equation
What does it mean to find the zeros of a function?
The zeros of a function are the values of the independent variable where the dependent variable has value of zero. In a typical representation where y = f(x), the zeroes are the points x where y is 0.
