Answered

Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Select the correct answer from each drop-down menu.
The table represents function f, and the graph represents function g.
-2
- 1
1
2
3
4
0
х
Ax)
7
0
-5
-8
-9
-8
-5
у
A
6
4
2
g
X
.
-21
2
2
The line of symmetry for function fis
and the line of symmetry for function gis
The y-intercept of function fis
the y-intercept of function g.
Over the interval [2, 4], the average rate of change of function fis
the average rate of change of function g.

Select The Correct Answer From Each Dropdown Menu The Table Represents Function F And The Graph Represents Function G 2 1 1 2 3 4 0 Х Ax 7 0 5 8 9 8 5 У A 6 4 2 class=

Sagot :

Answer:

Line of symmetry of f is x=2 and the line of symmetry for function g is x=1 as the graph starts repeating itself after x=1. Y intercept is the point at which x is 0, for f it is - 5 and for g it is - 6. Rate of change in interval [2,4] is given by (f(4)-f(2))/2=2 for f and for g it is, (g(4)-g(2))/2=-4

MrRoyal

The true statements are:

  • The line of symmetry for function f is x = 2
  • The line of symmetry for function g is x = 1
  • The y-intercept of function f is -5
  • The y-intercept of function g is -6
  • Over the interval [2, 4], the average rate of change of function f is half the average rate of change of function g.

Line of Symmetry

This is the point where the function is divided into equal halves.

From the figure, the table and graph are divided at points x = 2, and x = 1.

So, the line of symmetry for function f is x = 2 and the line of symmetry for function g is x = 1

Y-Intercept

This is the point where the function has an x value of 0

From the figure, the y values when x = 0 are -5 and -6

So, the y-intercept of function f is -5 and the y-intercept of function g is -6

Average rate of change

This is calculated as:

[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]

For function f, we have:

[tex]m = \frac{-5 + 9}{4-2}[/tex]

[tex]m = \frac{4}{2}[/tex]

[tex]m = 2[/tex]

For function g, we have:

[tex]m = \frac{2+ 6}{4-2}[/tex]

[tex]m = \frac{8}{2}[/tex]

[tex]m = 4[/tex]

By comparison,

[tex]m_f = 0.5 \times m_g[/tex]

Hence, over the interval [2, 4], the average rate of change of function f is half the average rate of change of function g.

Read more about functions and graphs at:

https://brainly.com/question/13136492

We appreciate your time on our site. Don't hesitate to return whenever you have more questions or need further clarification. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Your questions are important to us at Westonci.ca. Visit again for expert answers and reliable information.