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IgorLugansk [536]
3 years ago
6

1. Using the graph of the function f(x) shown below, answer the following questions.

Mathematics
1 answer:
Sphinxa [80]3 years ago
7 0

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.

<u>(a) The values of f(-7), f(0), f(4) and f(9)</u>

  • 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.

<u>(b) The number of values of the x at f(x) = 5</u>

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

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

<u>(c) The y-intercept</u>

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

Hence, the y-intercept is 3

<u>(d) The maximum and the minimum values of the graph</u>

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.

<u>(e) Why the graph represents a function</u>

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:

brainly.com/question/18806107

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