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

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 by one. If that fails, we can always use the quadratic equation,

{-b ± [√(b2 – 4ac)]} / 2a .

Through check-and-guess means, we find that

-2×2 – 3x + 20 = 0

factors out to

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

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, we find that

-2x + 5 = 0

so

-2x = -5

and

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

That’s one x value that leads to y = 0. Since this is a quadratic function (highest exponent is 2), we know there are two x values total. There’s one more left.

Solving for x in the second factor, we find that

x + 4 = 0

so

x = -4 .

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

We can double check these values by plugging them into our quadratic function one at a time. If they both give f(x) = 0, then they are in fact 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 statement is true, so x = 5/2 is an x-intercept of the function.

Next, plugging in x = -4, we get

-2(-4)2 – 3(-4) + 20 = 0

-2(16) + 12 + 20 = 0

-32 + 12 + 20 = 0

-20 + 20 =0

0 = 0

The statement is true, so x = -4 is an x-intercept of the function.

What are the x-intercepts of y 2×2 – 3x – 20? – Answers – 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…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.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.

Finding the x-intercepts of a function – Math Bootcamps – 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…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.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…

Solved: The X-Intercepts Of The Function… | Chegg.com – continue. Mathematics, 21.06.2019 20:20, oofoofoof1. Sample response: if the graph passes the horizontaline test, then the function is one to one. functions that are one to one have inverses that a therefore You know the right answer? What are the x-intercepts of the function f(x)= -2x^2 -3+20…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…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 steps