To which interval would we restrict f(x) = cos (x-π/4) so that f(x) is invertible?
1 answer:
Answer:
The range of x values for which y is unique is 2·π
Step-by-step explanation:
For a function j: X → Y to be invertible, we have that for every y in Y, there is associated only one x which is an element of x
Hence, f(x) = cos(x - π/4) gives
the x intercept at two penultimate points of the graph of cos(x - π/4) are;
x = 2.36, and x = 8.64
x = 3/4·π, and x = 2.75·π =
Hence the range of x values for which y is unique is presented as follows
The range of x values for which y is unique = 2·π.
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<h2>Explanation:</h2><h2></h2>
The complete question is in the attached file. So we have to choose between two graphs. On of them is a linear model while the other is an exponential model. From the statements, we have a relationship between time and the number of teams registered. So we can establishes variables in the following form:
We also know that each week 6 teams register to participate, so:
As you can see, as x increases one week, y increases at a constant ratio of 6. Therefore, this can be modeled by a linear function given by the form:
In conclusion, <em>the linear model (first graph below) is the one that bests represents the relationship between time and the number of teams registered.</em>