How many times does the graph of the function below intersect or touch the x axis? y=-3x^2+x+4

Two times.

Step-by-step explanation:

The graph touches the x-axis when the value of "y" is zero.

Then, substitute into the function:

Use the Quadratic formula to solve for "x":

You can identify that:

Then, you can substitute values into the Quadratic formula , so you get:

Therefore, the graph of this function touches the x-axis two times.

hey! so 1 (25) out of 4 (100) is 25 so your answer is 25%. it's like quarters!

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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