The statement that is true about the linear inequality of y > 3/4x - 2 is that the graph intercepts the y-axis at (0, -2).
<h3>What is linear inequality?</h3>
Linear inequality is defined as the comparison of two values using greater than, less than, greater than or equal to, and less than or equal to.
Using the general formula for linear inequality,
y >mx+ b
y > 3/4x - 2
Where m = slope of the graph
b = interception at y axis
Therefore, the statement that is true about the linear inequality of y > 3/4x - 2 is that the graph intercepts the y-axis at (0, -2).
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Two points that lie on the graph of f^-1(x) are (7, -1) and (6,1)
<h3>How to determine the points?</h3>
The table of values is given as:
x f(x)
-1 7
1 6
3 5
4 1
6 -1
Swap the points to determine the inverse function f^-1(x)
x f^-1(x)
7 -1
6 1
5 3
1 4
-1 6
The points from the above table are (7, -1) and (6,1)
Hence, two points that lie on the graph of f^-1(x) are (7, -1) and (6,1)
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Explanation:
Any function that has a derivative that changes sign will have an extreme value (maximum or minimum). If the derivative never changes sign, the function will not have any extreme values.
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Logarithmic, exponential, and certain trigonometric, hyperbolic, and rational functions are monotonic, having a derivative that does not change sign. Odd-degree polynomials may also have this characteristic, though not necessarily. These functions will not have maximum or minimum values.
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Certain other trigonometric, hyperbolic, and rational functions, as well as any even-degree polynomial function will have extreme values (maximum or minimum). Some of those extremes may be local, and some may be global. In the case of trig functions, they may be periodic.
Composite functions involving ones with extreme values may also have extreme values.
Answer:
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Step-by-step explanation: