What Are The X-intercepts Of The Function F(x)= -2x^2 -3+20 ~ Master News

The graph of a quadratic function is a parabola. A parabola can cross the x-axis. These points of intersection are called x-intercepts. X-intercepts are also called zeros, roots, solutions, or solution sets. There are four methods for finding x-intercepts: the quadratic formula, factoring, completing the...The x-Intercepts of the function f: f(x)=-2x^2+4x+6 are O -1,-2 1,-3 0-2,3 3,-1 O2,-3 6. + -11 points The magnitude of the vector <-2,2,3> Sqrt(19) Sqrt(18) However, you can choose not to allow certain types of cookies, which may impact your experience of the site and the services we are able to offer.x = 5/2 , -4 are the x intercepts. A school's gymnasium measuring 30 meters by 50 meters is to be covered with square tiles of side 20 centimeter.in order to find the #x# intercepts, #f(x)# must equate to #0#.What are the x-intercepts of the function f(x) = -2x2 - 3x + 20? Home Work Help. What are the x-intercepts of the function f(x) = -2x2 - 3x + 20?

Solved: The X-Intercepts Of The Function... | Chegg.com

Get an answer for 'What are the x-intercepts of y = 2x^2 - 3x - 20' and find homework help for other Math questions at eNotes. x-intercept is the point where the function intersect with the x-axis. In this case y value will be zero.The x-intercepts are where the graph crosses the x-axis, and the y-intercepts are where the graph crosses the y-axis. The problems start when we try to deal with intercepts algebraically. To clarify the algebraic part, think again about the axes. When you were first introduced to the Cartesian plane...If you would like to find the x-intercepts of the function f(x) = - 2 * x^2 - 3 * x + 20, you can calculate this using the following stepsx-intercept of a Linear Function or a Straight Line. This is a good example to illustrate that it is possible for the graph of an equation to have x-intercepts but without y-intercepts. When solving for y, we arrived at the situation of trying to get the square root of a negative number.

What are the x-intercepts of the function f(x) = -2x^2 - 3x + 20?

Finding x-intercepts and y-intercepts. The intercepts of a graph are points at which the graph crosses the axes. We can confirm that our results make sense by observing a graph of the equation as in Figure 10. Notice that the graph crosses the axes where we predicted it would.Given the graph of any function, an x-intercept is simply the point, or points where the graph crosses the x-axis. There might be just one such point, no such point, or many, meaning a function can have several x-intercepts.y = x2 - 3x - 20 is a formula linking two variables, x and y. It does not - indeed, it cannot - have a solution. The equation x2 - 3x - 20 = 0 has solutions at x = -3.217 and x = 6.217 approx. There are an infinite number of lines that are all parallel to [ y = 3x + 6 ].Here are ten of them to get you started:y...The x-intercepts of a function f(x) is found by finding the values of x which make f(x) = 0. Write f(x) = 0, and solve for x to find the x-intercepts of a function. Answer: The x-intercepts of f(x) = x2 + 4x + 3 are −1 and −3. Help Us To Improve Mathematics Monster. Do you disagree with something on this...The x-intercepts of the function are the values for x which make f(x) = 0. Since this is a quadratic function, we can attempt to factor it and solve for the x values one We set both expressions equal to zero because we want the x values that give us a y value equal to zero. Solving for x in the first factor...

The x-intercepts of the (*20*) are the values for x which make f(x) = 0. Since it is a quadratic (*20*), we will attempt to issue it and solve for the x values one after the other. If that fails, we will be able to always use the quadratic equation,

-b ± [√(b2 - 4ac)] / 2a .

Through check-and-guess method, we discover that

-2x2 - 3x + 20 = 0

elements out to

(-2x + 5)(x + 4) = 0 .

We set each expressions equal to zero as a result of we want the x values that give us a y price equivalent to zero.

Solving for x in the first factor, we discover that

-2x + 5 = 0

-2x = -5

and

x = -5/-2 = 5/2 .

That's one x value that leads to y = 0. Since this is a quadratic (*20*) (best possible exponent is 2), we know there are two x values total. There's yet another left.

Solving for x in the 2nd factor, we find that

x + 4 = 0

x = -4 .

So the two x-intercepts are x = 5/2 and x = -4.

We can double examine these values by means of plugging them into our quadratic (*20*) one after the other. If they each give f(x) = 0, then they are actually x-intercepts.

Plugging in x = 5/2, we get

-2(5/2)2 - 3(5/2) + 20 = 0

-2(25/4) - (15/2) + 20 = 0

(-50/4) - (15/2) + 20 = 0

-12.5 - 7.5 + 20 = 0

-20 + 20 = 0

0 = 0

The observation is correct, so x = 5/2 is an x-intercept of the (*20*).

Next, plugging in x = -4, we get

-2(-4)2 - 3(-4) + 20 = 0

-2(16) + 12 + 20 = 0

-32 + 12 + 20 = 0