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:
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