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scoray [572]
3 years ago
5

Can someone explain/show me how to do this?Absolute Value Functions

Mathematics
1 answer:
otez555 [7]3 years ago
7 0
Domain: The values that X could take, so domain = (-∞,+∞)

Range: The values that the dependant variable, f(x), could take. Since we can't get negative numbers, it'd be range = [0,+∞)

X and Y intercepts: The points in which you touch the axis. On this case the only one is the point (0,0).

Increasing and decreasing refers to the region where the function increases or decreases. It increases on (0,∞), and decreases on (-∞,0).

Sorry, but I don't understand what you mean with "transformations", at least the way you're written it. If you give me a bit more of info, I'll do my best to help :)
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The function g(x) = x2 is transformed to obtain function h: h(x) = g(x + 1).
Anika [276]

Good evening ,

Answer:

We just transform the g graph using a translation of vector (-i)

Step-by-step explanation:

Look at the photo below for the graphs.

:)

5 0
3 years ago
Find the other endpoint of the line segment with the given endpoint and midpoint. Endpoint: (9,8) Midpoint (0,9)​
shepuryov [24]

Answer:

(-9, 10)

Step-by-step explanation:

The location of the midpoint of a line with endpoint at (x_1,y_1) and (x_2,y_2) is given as (x, y). The location of x and y are:

x = \frac{x_1+x_2}{2},y=\frac{y_1+y_2}{2}

Given the endpoint (9,8) and Midpoint (0,9), the location of the other endpoint can be gotten from:

0=\frac{9+x_2}{2}\\ \\9+x_2=0\\\\x_2=-9\\\\Also,9=\frac{8+y_2}{2}\\ \\8+y_2=18\\\\y_2=18-8\\\\y_2=10

Hence the endpoint is at (x2, y2) which is at (-9, 10)

5 0
3 years ago
8 + 4f = 3f solve for f
navik [9.2K]

Answer:

f=-8

Step-by-step explanation:

8+4f=3f

8+4f-4f=3f-4f (Subtract 4f from both sides of the equation to isolate f)

8=-f (Simplify)

-f=8 (Symmetric Property of Equality)

\frac{-f}{-1} =\frac{8}{-1} (Divide both sides of the equation by -1 to get rid of f's coefficient; remember that -f=-1*f, so -f has a coefficient of -1)

f=-8 (Simplify)

Hope this helps!

4 0
3 years ago
Read 2 more answers
3x-3=2x<br><br> Please help me...?<br> 10 points given
svetoff [14.1K]
3x - 3 = 2x

Add 3 on both sides

3x - 3 + 3 = 2x + 3
3x = 2x + 3

Subtract 2x on both sides

3x - 2x = 2x + 3 - 2x
3x - 2x = 3
x = 3

So, your final answer is x = 3.
6 0
3 years ago
Read 2 more answers
4 times the quantity of 20 decreased by a number
iogann1982 [59]

Answer:

4 x 20 - X

Step-by-step explanation:

4 times 20 - X

x is the unknown variable

Unknown variable = what you are trying to find.

6 0
3 years ago
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