G(x) = 13.2x³ + 3x4 -x-4.4

Mathematics

1 answer:

Kisachek [45]2 years ago

3 0

The given polynomial has a degree of 4, the leading coefficient is 3, and the constant is 4.4.

<h3>What is a polynomial?</h3>

A polynomial is an algebraic expression with terms that are the combination of variables, coefficients, and constants.

The highest power of the variable is said to be the degree of the polynomial.
The coefficient of the highest power variable is said to be the leading coefficient.

<h3>Calculation:</h3>

The given polynomial is

g(x) = 13.2x³ + 3x⁴ - x - 4.4

The highest power of the variable x is 4. So, the degree of the variable is 4.

Then, the leading coefficient is 3.

The constant on the given polynomial is 4.4.

Learn more about polynomials here:

brainly.com/question/1600696

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Disclaimer: The given question on the portal was incomplete. Here is the complete question.

Question: For the given polynomial, identify the degree, leading coefficient, and the constant value.

g(x) = 13.2x³ + 3x⁴ - x - 4.4

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F(x)=-1/2(x-2)^2-4 <br> Graph the function

telo118 [61]

Answer:

see below

Step-by-step explanation:

The function is written in vertex form. It has a negative vertical scale factor, so you know ...

the vertex is (2, -4)
the vertical scale factor is 1/2
the parabola opens downward

Vertex form is ...

f(x) = a(x -h)^2 +k . . . . . . . . . . vertical scale factor "a", vertex (h, k)

Since you know the vertex and scale factor, you can plot some points on the graph. I find it convenient to think in terms of units either side of the vertex. These are values of x that would make (x-2)^2 be 1^2, 2^2, 3^2, 4^2 and so on. The vertical scale factor of -1/2 tells you that the y-differences for these points will be -1/2, -4/2, -9/2, -16/2 from the vertex. Then we have ...

vertex: (2, -4)

1 unit either side of the vertex: (1, -4.5), (3, -4.5)

2 units either side of the vertex: (0, -6), (4, -6)

3 units either side of the vertex: (-1, -8.5), (5, -8.5)

4 units either side of the vertex: (-2, -12), (6, -12)

You can plot these points and draw a smooth curve through them. Or, you can let a graphing calculator do it. The result will be similar to that shown below.