Which value is an input of the function? -14 -2 0 4

Graph the function f(x) = x3 – 3x – 2. Based on the graph, which value for x is a double root of this function? a.–2 b.–1 c.1 d.

dalvyx [7]

To solve the problem shown above you must apply the following proccedure:

1. You have the following function given in the problem:

 f(x)=x3–3x–2

2. When you give values to the x and plot each point obtained, you obtain the graph shown in the figure attached.

3. Based on the graph and analizing the alternate form:

f(x)=(x-2)(x+1)²

As you can see, there is two roots x=-1, then, you can conclude that the correct answer is the option b, which is:

b) -1

6 0

3 years ago

Which piecewise function is shown in the graph?

mash [69]

Based on the characteristics of linear and piecewise functions, the piecewise function $f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.$ is shown in the graph attached herein. (Correct choice: A)

<h3>How to determine a piecewise function</h3>

In this question we have a graph formed by two different linear functions. Linear functions are polynomials with grade 1 and which are described by the following formula:

y = m · x + b (1)

Where:

x - Independent variable.
y - Dependent variable.
m - Slope
b - Intercept

By direct observation and by applying (1) we have the following piecewise function:

$f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.$

Based on the characteristics of linear and piecewise functions, the piecewise function $f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.$ is shown in the graph attached herein. (Correct choice: A)

To learn more on piecewise functions: brainly.com/question/12561612

#SPJ1

3 0

2 years ago

Hector, Sam, Ted, and Gina are comparing their savings. Hector saved twice as much money as Sam. Ted saved $100 more than Hector

lutik1710 [3]

Answer:

$2x+50$

Step-by-step explanation:

Given: Hector saved twice as much money as Sam.

Ted saved $100 more than Hector.

Gina saved $50 less than Ted.

As given, lets assume the amount of money Sam has in saving be "x".

Now, finding saving of each person given.

Writing the algebric expression of each´s saving amount.

we know, Hector saved twice as much money as Sam.

∴ Hector saving= $\$2x$

Also, Ted saved $100 more than Hector.

∴ Ted´s saving= $\$(2x+100)$

Next finding Gina´s saving

As given, Gina saved $50 less than Ted.

∴ Gina´s saving= $\$ (2x+100)-\$ 50$

Opening parenthesis and solving it.

⇒ Gina´s saving= $\$ 2x+\$50$

Algebric expression of Gina´s saving= $2x+50$

5 0

3 years ago

Select a setting so that each given point will lie within the viewing window.

NemiM [27]

Answer:

The given points are

$(-13,3)\\(0,0)\\(-2,-7)$

The setting would have a interval or 2 units above and below the minimum and maximum of each coordinate.

The given maxium horizontal coordinate is 0.

The given minimum horizontal coordinate is -13.

The given maximum vertical coordinate is 3.

The given minimum vertical coordinate is -7.

Now, we extend each maximum and minimum value by 2 units to create the setting.

So, the setting is

$x_{min}=-15\\x_{max}=2\\ y_{min}=-9\\y_{max}=5$

With a scale of 2 units.

6 0

3 years ago

The lengths of the sides of a triangle are represented by 3m, 3m and 3m.

Aleks04 [339]

Q1: The perimeter of the triangle is a + b + c and if each side is the same then it's 3a. In this situation we may write it in its simplest form as 9m. Note that 3(3m) is also correct but it's not the simplest form.

Q2: You're correct, the distributive property of 3(3m) can be written as 3 (2m + m).

3 0

3 years ago