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Mrrafil [7]
3 years ago
8

Miles carried the football for an average of 5 yards per carry in the game. If he carried the ball 8 times, how many yards did h

e gain (y)?
A. Y=5/8
B. Y=8/5
C. Y=5+8
D. Y=5x8
Mathematics
1 answer:
pychu [463]3 years ago
8 0
Then Miles carried the football 5 yards 8 times, that is 5x8
The correct answer is D. y = 5x8
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Answer:

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Step-by-step explanation:

To find the inverse function, solve for y:

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f(x) is an even function, so f(-x) = f(x). Then the inverse relation is double-valued: for any given y, there can be either of two x-values that will give that result.

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A function is single-valued. That means any given domain value maps to exactly one range value. The test of this is the "vertical line test." If a vertical line intersects the graph in more than one point, then that x-value maps to more than one y-value.

The horizontal line test is similar. It is used to determine whether a function has an inverse function. If a horizontal line intersects the graph in more than one place, the inverse relation is not a function.

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Since the inverse relation for the given f(x) maps every x to two y-values, it is not a function. You can also tell this by the fact that f(x) is an even function, so does not pass the horizontal line test. When f(x) doesn't pass the horizontal line test, f^-1(x) cannot pass the vertical line test.

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The attached graph shows the inverse relation (called f₁(x)). It also shows a vertical line intersecting that graph in more than one place.

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