How do you find the x and y intercepts of a polynomial function?

How do you find the x and y intercepts of a polynomial function?

How do you find the x and y intercepts of a polynomial function?

At this point, the x-coordinate is zero.

  1. To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y.
  2. To find the x-intercept, set y = 0 \displaystyle y=0 y=0.
  3. To find the y-intercept, set x = 0 \displaystyle x=0 x=0.

How do you find the x intercepts of a factored polynomial?

How To: Given a polynomial function f, find the x-intercepts by factoring.

  1. Set f(x)=0 f ( x ) = 0 .
  2. If the polynomial function is not given in factored form: Factor out any common monomial factors. Factor any factorable binomials or trinomials.
  3. Set each factor equal to zero and solve to find the x- intercepts.

How do you find the y-intercept of a polynomial in factored form?

  1. Step 1: Find the y -intercept of the polynomial f(x) by evaluating f(0) . The y -intercept is the point (0,f(0)) ( 0 , f ( 0 ) ) .
  2. Step 2: Find the x -intercept(s), if they exist, of the polynomial f(x) by solving f(x)=0 f ( x ) = 0 for x .
  3. The x -intercepts are (1,0) and (−1,0) .

What are the steps in solving problems involving polynomials and polynomial equations?

Get zero on one side. Factor the trinomial. Use the Zero Product Property. Solve each equation.

How do you find the y intercept of a polynomial?

Step 1: Replace every x in the polynomial with 0. y- Intercept: A y -intercept of a function is the point where the graph of the function touches or crosses the y -axis. The y -intercept always has an x -coordinate of 0, so it can be found by substituting x = 0 into the function.

What are x intercepts and y intercepts?

The x-intercepts are points where the graph of a function or an equation crosses or “touches” the x-axis of the Cartesian Plane. You may think of this as a point with y-value of zero. x x. \\left ( {x,0} \\right) (x,0). The y-intercepts are points where the graph of a function or an equation crosses or “touches” the y-axis of the Cartesian Plane.

How do you write x intercepts on a graph?

The graph crosses the x-axis at x= 1 and x= 3, therefore, we can write the x-intercepts as points (1,0) and (–3, 0). Similarly, the graph crosses the y-axis at y=3.

How to find the X-and y-intercepts of an equation?

To determine the x- intercept, we set y equal to zero and solve for x. Similarly, to determine the y- intercept, we set x equal to zero and solve for y. For example, lets find the intercepts of the equation \\displaystyle y=3x – 1 y = 3x − 1.