Ask question

Ask question

All categories

4 years ago

15

What is the domain of the absolute value function below?

2 answers:

Anton [14]4 years ago

8 0

No info was given, plz post a pic of the equation

VARVARA [1.3K]4 years ago

4 0

Answer:

domain is all real numbers. (-infinity, infinity)

You can put any real number x value into the function.

Step-by-step explanation:

You might be interested in

Help please!! i need to find the value of x

Marina86 [1]

If the lines are congruent it should be 2 because 4 should be double of x

4 0

3 years ago

Find the area bounded by the given curves: <br> y=2x−x2,y=2x−4

Andrej [43]

Answer:

$A = [\frac{32}{3}]$

Step-by-step explanation:

Given

$y_1 = 2x - x^2$

$y_2 = 2x - 4$

Required

Determine the area bounded by the curves

First, we need to determine their points of intersection

$2x - x^2 = 2x - 4$

Subtract 2x from both sides

$-x^2 = -4$

Multiply through by -1

$x^2 = 4$

Take square root of both sides

$x = 2$ or $x = -2$

This Area is then calculated as thus

$A = \int\limits^a_b {[y_1 - y_2]} \, dx$

<em>Where a = 2 and b = -2</em>

Substitute values for $y_1$ and $y_2$

$A = \int\limits^a_b {(2x - x^2) - (2x - 4)} \, dx$

Open Brackets

$A = \int\limits^a_b {2x - x^2 - 2x + 4} \, dx$

Collect Like Terms

$A = \int\limits^a_b {2x - 2x- x^2 + 4} \, dx$

$A = \int\limits^a_b {- x^2 + 4} \, dx$

Integrate

$A = [-\frac{x^{3}}{3} +4x](2,-2)$

$A = [-\frac{2^{3}}{3} +4(2)] - [-\frac{-2^{3}}{3} +4(-2)]$

$A = [-\frac{8}{3} +8] - [-\frac{-8}{3} -8]$

$A = [\frac{-8+ 24}{3}] - [\frac{8}{3} -8]$

$A = [\frac{-8+ 24}{3}] - [\frac{8-24}{3}]$

$A = [\frac{16}{3}] - [\frac{-16}{3}]$

$A = [\frac{16}{3}] + [\frac{16}{3}]$

$A = [\frac{16 + 16}{3}]$

$A = [\frac{32}{3}]$

Hence, the Area is:

$A = [\frac{32}{3}]$

7 0

4 years ago

Please help! This is somewhat confusing

Tresset [83]

Answer:

A

Step-by-step explanation: This may help

4 0

3 years ago

Square Root of 100 minus square root of 9

Alex17521 [72]

Answer:

7

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

3. Solve the following word problems:

klasskru [66]

mariana bedoya sanches

3 0

3 years ago