The equation of the piecewise function is
On the graph, we have:
Hence, the piecewise function is:
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)
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The function of the linear equation shows that the slope(m) = -7, the x-intercepts is (-1/7,0), and the y-intercepts is (0,-1)
<h3>What is the function of f(x) of a linear equation?</h3>The function of a linear equation takes the form y = ax + b. In this situation, the values of y can be determined when x = 0, and the values of x can be determined when y = 0
From the given information:
y = f(x) = -7x - 1
We can determine the:
y = -7x - 1
Slope (m) = -7
Set the values of y = 0 to determine the x-intercepts.
0 = -7x - 1
7x = - 1
x = -1/7
x-intercepts = (-1/7, 0)
Set the values of x = 0 to find the y-intercepts.
y = -7(0) - 1
y = - 1
y-intercepts = (-1, 0)
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