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2 years ago

The inverse of the function graphed below is a function.A. TrueB. False

Mathematics

2 answers:

lawyer [7]2 years ago

8 0

Answer:

<h3>B. False </h3>

Step-by-step explanation:

We are given a graph of a function. Shown graph represents a function because there is only unique value of y for each unique value of x.

So, it would pass the vertical line test.

All the vertical lines on the graph would cross the graph at only single point (unique) point.

But if we draw the inverse function graph, each of (x,y) coordinate would switch to (y,x) and the graph would flip to right side.

And if we draw any vertical line on the graph, it could cut the graph at two or more points.

<h3>Therefore, it would not pass the vertical line test and it would not be a graph of a function.</h3>

Anuta_ua [19.1K]2 years ago

7 0

False. In order to have an inverse, your function must pass the horizontal line test. The graph fails the test.

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What triangle has no congruent sides but 1 right angle

iragen [17]

Answer:

scalene triangle

Step-by-step explanation:

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2 years ago

Write the equation of the line that passes through (−2, 6) and (2, 14) in slope-intercept form.

MakcuM [25]

Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

The first step is to find the slope using the provided coordinates (-2, 6) and (2, 14). We can do that using the y1 - y2 / x1 - x2, like so:

6 - 14 / -2 - 2
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The slope is two, so we immediately know the answer is either A or B.

Now, plot the two points on graphing paper and determine where the line intersects the y-axis to find the y-intercept...

My graph shows the line intersecting the y-axis at 10, therefore the correct answer is:
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3 years ago

What is the distance between the points (-12, 11) and (-18, 17), to the<br> nearest tenth? *

Basile [38]

Answer:

8.5 units

Step-by-step explanation:

The distance between two points is given by

$d=\sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}$

Taking points (-12, 11) and (-18, 17) as the first and second points respectively then

$d=\sqrt{(-18--12)^{2}+(17-11)^{2}}$

$d=\sqrt {36+36}$

d=8.48528137423857 units

Rounded off to nearest tenths

d=8.5 units

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2 years ago

Find the sum. Express your answer in simplest form.

Marina86 [1]

Answer:

$\frac{10x^2+3}{y^2+4}$

Step-by-step explanation:

When adding rational numbers, if the denominator is the same you simply keep the denominator (bottom of fraction) as it is and apply the operation given to the numerator ( top of fraction )

So we have $\frac{6x^2+5}{y^2+4} +\frac{4x^2-2}{y^2+4} =\frac{(6x^2+5)+(4x^2-2)}{y^2+4}$