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3 years ago

If f(x) = ||x|| , find f(−14)

Mathematics

2 answers:

tino4ka555 [31]3 years ago

4 0

Answer:

f(-14) = 14

Step-by-step explanation:

Given

f(x) = ||x||

The ||..|| sign represents the double modulus sign or sign of double absolute value.

The absolute value of any number returns the positive value of that number.

To solve this, we first find the inner modulus or absolute value then we find the outer modulus,

If f(x) = ||x||

Then f(x) = |(|x|)| where |x| represents the inner modulus;

To find f(-14).

The inner modulus is |-14|; This returns positive 14

|-14| = 14

Then we solve for the outer modulus (even though it doesn't change anything)

|14| = 14

So, f(-14) = |(|-14|)|

f(-14) = |14|

f(-14) = 14

bogdanovich [222]3 years ago

3 0

Answer:

Step-by-step explanation:

f(-14) = ||-14|| = |14| = 14

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What equation is graphed in this figure?

topjm [15]

Answer:

The third equation: $y+2=-3(x-1)$

Step-by-step explanation:

The two points on the line are $(-1,4)$ and $(1,-2)$ .

Slope of the line passing through two points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is given as:

$m=(y_{2} -y_{1})/ (x_{2} -x_{1})$

Here, $(x_{1},y_{1})$ and $(x_{2},y_{2})$ are $(-1,4)$ and $(1,-2)$ .

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$m=-6/2$

$m=-3$

Now, equation of a straight line with slope m and points $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is given as:

$y-y_{1}=m(x-x_{1})\\y-y_{2}=m(x-x_{2})$

Now, if we use the 2nd form, then $x_{2}=1,y_{2}=-2$ .

So, the equation is given as :

$y-(-2)=-3(x-1)\\y+2=-3(x-1)$

8 0

3 years ago

Compare the graph of the function, g(x)=(1)/(x-1)-3(, with the graph of its parent function. ) Which of the following options be

mars1129 [50]

Answers:

right 1, down 3 (these two answers only)

Step-by-step explanation:

There are two transformations going on. The first of which is the horizontal or x translation (aka shifting) where the 'x' turns into 'x-1'. This moves the xy axis 1 spot to the left, giving the illusion that the graph moves 1 unit to the right.

The "-3" at the end shifts the graph down 3 units. If g(x) = f(x) - 3, then g(x) is the output of f(x) but 3 less than that, which is why it shifts down 3 units.

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3 years ago

An airplane makes a 15° angle of elevation from the runway

Jet001 [13]

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Step-by-step explanation:

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2 years ago

Please help it’s for Alex

nasty-shy [4]

Okay so the y is in absolute value, which means the number could be a negative and the absolute value would make is a positive.
since the sign is greater than, with no equal to underneath it, than the answer cant be 3 or -3.
the number has to total to be larger than 3. again, since the absolute value turns the negatives into positives, then -4 is an acceptable answer. so the absolute value line should look like the above (please excuse the terrible look). I simplified it to the two numbers that start the equation. the two circle are open circles because the sign does not include an equal sign under it. you draw the arrows on either side of the two numbers because any answer beyond those arrows fits in with the equation
| 4 |
| 184728 |
| -4.5829492994929492949572728 |

did that answer the problem?

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2 years ago

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