ericklivingston
Answered

Looking for reliable answers? Westonci.ca is the ultimate Q&A platform where experts share their knowledge on various topics. Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

1. Using the graph of the function f(x) shown below, answer the following questions.
(a) Find the value of each of the following:
f(-7)= f(0)=
f(4)= f(9)=
(b) For how many values of x does f(x)=5?Illustrate on the graph.
(c) What is the y-intercept of this relation?
(d) State the maximum and minimum values the graph obtains.
(e) Explain why the graph above represents a function.

1 Using The Graph Of The Function Fx Shown Below Answer The Following Questions A Find The Value Of Each Of The Following F7 F0 F4 F9 B For How Many Values Of X class=

Sagot :

MrRoyal

Graphs can be used to represent functions, and vice verse

  • The values of f(-7), f(0), f(4) and f(9) are -6, 3, 1 and -4, respectively.
  • f(x) = 5 illustrate three values of x
  • The y-intercept is 3
  • The maximum and the minimum values of the graph are 5.5 and 6
  • The graph passes the vertical line test.

(a) The values of f(-7), f(0), f(4) and f(9)

  • At x = -7, the corresponding value of the function is -6.
  • At x = 0, the corresponding value of the function is 3.
  • At x = 4, the corresponding value of the function is 1
  • At x = 9, the corresponding value of the function is -4

Hence, the values of f(-7), f(0), f(4) and f(9) are -6, 3, 1 and -4, respectively.

(b) The number of values of the x at f(x) = 5

At f(x) =5, the values of x are -10, 1 and 3.

Hence, f(x) = 5 illustrate three values of x

(c) The y-intercept

This is the point where the graph crosses the y-axis, i.e. when x = 0.

Hence, the y-intercept is 3

(d) The maximum and the minimum values of the graph

The highest point on the graph is (2.5,5.5), while the least point is (-7,-6)

Hence, the maximum and the minimum values of the graph are 5.5 and 6, respectively.

(e) Why the graph represents a function

It represents a function because it passes the vertical line test.

This in other words means that, each x value has exactly one y value

Read more about functions and graphs at:

https://brainly.com/question/18806107

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.