What is the slope of the line passing through the points (0, 4) and (6, 13)
1 answer:
Answer:
The slope is
Step-by-step explanation:
Hi there!
We are given the points (0, 4) and (6, 13)
We want to find the slope of the line containing these two points
Slope (m) is the steepness of the line. When calculating from two points, you use the equation , where
and
are points
Although we have what we need to find the slope, let's label the values of the points to avoid confusion and mistakes.
Substitute these values into the equation
m=
m=
Subtract
m=
Simplify
m=
The slope of the line is 3/2
Hope this helps!
See more on calculating slopes from 2 points here: brainly.com/question/26738734
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Answer:
Step-by-step explanation:
To find the inverse function, solve for y:
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.
