Graph the function and identify the domain and range.. y = 0.5x^2

Domain (-∞, ∞)

Range (0, ∞)

Step-by-step explanation:

As we know in a graph values on x-axis denote domain and values on y denote the range.

Now if we plug in the values of x to get the values of y we can draw the graph with the help of points with x and y coordinates.

The points will be (-2, 2),(-1, 0.5),(0,0),(1, 0.5),(2, 2)

The function shows its a graph of a parabola opening upwards with vertex at origin (0, 0).

The graph will look alike the figure attached.

Now we can see that on x- axis for every value of x there is value on y-axis.

So Domain will be (-∞, +∞)

and Range will be (0, +∞).

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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step-by-step explanation: