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2 years ago

Determine the range of the function graphed below. Answer choices are below as well

Mathematics

1 answer:

Softa [21]2 years ago

5 0

Answer:

The range of the function will be (- ∞, 4].

Step-by-step explanation:

See the graph attached.

Here we have to get the range of the graphed function.

The value of y in the graphed function varies in the range of less than or equal to 4.

Because the graph of the function does not move beyond 4 towards +∞.

Therefore, the range of the function will be (- ∞, 4]. (Answer)

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2 years ago

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2 years ago

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3 years ago

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2 years ago

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Find a formula for the given polynomial.

levacccp [35]

In this question, we have to identify the zeros of the polynomial, along with a point, and then we get that the formula for the polynomial is:

$p(x) = -0.5(x^3 - x^2 + 6x)$

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Equation of a polynomial, according to it's zeros:

Given a polynomial f(x), this polynomial has roots such that it can be written as: , in which a is the leading coefficient.

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Identifying the zeros:

Given the graph, the zeros are the points where the graph crosses the x-axis. In this question, they are:

$x_1 = -2, x_2 = 0, x_3 = 3$

Thus

$p(x) = a(x - x_{1})(x - x_{2})(x-x_3)$

$p(x) = a(x - (-2))(x - 0)(x-3)$

$p(x) = ax(x+2)(x-3)$

$p(x) = ax(x^2 - x + 6)$

$p(x) = a(x^3 - x^2 + 6x)$

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Leading coefficient:

Passes through point (2,-8), that is, when $x = 2, y = -8$ , which is used to find a. So

$p(x) = a(x^3 - x^2 + 6x)$

$-8 = a(2^3 - 2^2 + 6*2)$

$16a = -8$

$a = -\frac{8}{16} = -0.5$

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Considering the zeros and the leading coefficient, the formula is:

$p(x) = -0.5(x^3 - x^2 + 6x)$

A similar problem is found at brainly.com/question/16078990

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2 years ago

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