The equation of the piecewise function is 
<h3>The piecewise function</h3>
On the graph, we have:
- y = 3 for all x values not more than -1
- y = -1 for all values greater than 2
Hence, the piecewise function is:
<h3>The domain of the function</h3>
This is the set of input values
In (a), we have:
x ≤ -1 and x > 2
Hence, the domain is (∞, 3] u (2, ∞)
<h3>The range of the function</h3>
This is the set of output values
In (a), we have:
f(x) = 3 and f(x) -1
Hence, the range is [3] u (-1)
Read more about piecewise function at:
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P-value approach is used to take a decision to reject or accept the null hypothesis as indicated below:
<span>REJECT the hypothesis, if p-value </span><span>FAIL TO REJECT the hypothesis, if p-value > the alpha value.
</span><span>Alpha value represents the level of significance </span>
<span>If alpha value is NOT indicated: alpha = 0.05 can be assumed </span>
<span>REJECT the hypothesis, because p-value (0.036) < the alpha value assumed which is 0.05</span>
Oddly enough, when y=-1/3, the value of y is -1/3.
When x = -1/3, the value of y is
.. y = 3*(-1/3) -2
.. = -1 -2
.. = -3
When x = -1/3, the value of y is -3.
Answer:
2? The last one
Step-by-step explanation:
Answer:
A. f and h
Step-by-step explanation:
For a linear function the First Differences of the y-values must be a constant. i.e. if we take the difference between any two consecutive y values or values of f(x) it should be the constant. For this rule to work, x values must change by the same number every time, which is true for all three given functions.
For function f:
The values of f(x) are: 5,8,11,14
We can see the difference in consecutive two values is a constant i.e. 3, so the First Difference is the same. Hence, function f is a linear function.
For function g:
The values of g(x) are: 8,4,16,32
We can see the difference among two consecutive values is not a constant. Since the first differences are not the same, this function is not a linear.
For function h:
The values of h(x) are: 28, 64, 100, 136
We can see the difference among two consecutive values is a constant i.e. 36. Therefore, function h is a linear function.
