Graph y=1/4x-6 Use the line tool and select two points on the line

2. Consider the function, f(x)=x^3+x^2-9x-9

Sedaia [141]

The intercepts of the graph are:

x-axis interception: $\left(-1,\:0\right),\:\left(-3,\:0\right),\:\left(3,\:0\right)$ .

y-axis interception: $\left(0,\:-9\right)$ .

See the graph of the function $f(x)=x^3+x^2-9x-9$ in the attached image.

<h3>Constructing a graph</h3>

For constructing a graph we have the following steps:

Determine the range of values for x of your graph.

For this exercise, for example, we can define a range -4<x<4. In others words, the values of x will be in this interval.

Determine the points

Replace these x-values in the given equation. For example:

When x=-4, we will have: $\left(-4\right)^3+\left(-4\right)^2-9\left(-4\right)-9=-21$ . Do this for the all x-values of your ranges.

See the results for this step in the attached table.

Draw the graph

Mark the points <u>x</u> and<u> y</u> that you found in the last step. After that, connect the dots to draw the graph.

The attached image shows the graph for the given function.

<h3>Find the x- and y-intercepts</h3>

The intercepts are points that crosses the axes of your plot. From your graph is possible to see:

x-axis interception points (y=f(x)=0) are: $\left(-1,\:0\right),\:\left(-3,\:0\right),\:\left(3,\:0\right)$ .

y-axis interception point (x=0) is: $\left(0,\:-9\right)$ .

Learn more about intercepts of the graph here:

brainly.com/question/4504979

5 0

2 years ago

Hello could you please help me

seropon [69]

I think .. correct me if i’m wrong
1. 3x+75=165
2. 3x+200

7 0

3 years ago

Please help. Simplify:

Shalnov [3]

Answer:

use p h o t o m a t h

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

What number is at this position ?

Katarina [22]

The answer is 2.5 because the point is at the middle. Hope this’ll help

8 0

3 years ago

What is the factored form of 343 + X6?

yan [13]

Answer:

Step-by-step explanation: 1.1 Factoring: 343-x6

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 343 is not a square !!

Ruling : Binomial can not be factored as the

difference of two perfect squares

Polynomial Roots Calculator :

1.2 Find roots (zeroes) of : F(x) = -x6+343

Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 343 and the Trailing Constant is -1.

The factor(s) are:

of the Leading Coefficient : 1,7 ,49 ,343

of the Trailing Constant : 1

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 342.00

-1 7 -0.14 343.00

-1 49 -0.02 343.00

-1 343 -0.00 343.00

1 1 1.00 342.00

1 7 0.14 343.00

1 49 0.02 343.00

1 343 0.00 343.00

Polynomial Roots Calculator found no rational roots

Final result :

343 - x6

5 0

3 years ago

Read 2 more answers