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2 years ago

What are the domain and range of the absolute value parent function?

Mathematics

2 answers:

kicyunya [14]2 years ago

8 0

Answer:

The domain : All real numbers

The range : From 0 to positive infinity

Step-by-step explanation:

The absolute value function is f(x) = lxl where the bars around the x mean take whatever x value and make it positive. So

f(3) = l3l = 3

f(7) = l7l = 7

f(-7) = l-7l = 7

So this function can take any real number from negative infinity to positive infinity.

Since the function makes all inputs positive, then all positive inputs will come out positive, all negative inputs will be made positive (as per my example above) and zero will remain 0. So the range (set of output values) starts from zero and goes to positive infinity

REY [17]2 years ago

7 0

The domain is all real numbers and the range is all positive numbers.

The absolute parent function is f(x)=|x|.

The domain, or values of x, can be any real number. There is no x that will not give an answer in this function.

The range, or values of y, must be negative numbers. This is because the absolute value function makes values positive, since they are distance from 0.

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A sociologist wishes to estimate the average number of automobile thefts in a large city per day within 2 automobiles. He wishes

anzhelika [568]

Answer:

$n=(\frac{2.58(4.2)}{2})^2 =29.35 \approx 30$

So the answer for this case would be n=30 rounded up to the nearest integer

Step-by-step explanation:

Information given

$ME = 2$ the margin of error desired

$\sigma =4.2$ standard deviation from previous studies

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =2 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 99% of confidence interval now can be founded using the normal distribution. The significance level is $\alpha=0.01$ and the critical value would be $z_{\alpha/2}=2.58$ , replacing into formula (b) we got:

$n=(\frac{2.58(4.2)}{2})^2 =29.35 \approx 30$

So the answer for this case would be n=30 rounded up to the nearest integer

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2 years ago

A central purple circle labeled O has 2 concentric rings around it. The inner ring has 2 small green spheres. The outer ring has

natulia [17]

Answer:

Its C

Step-by-step explanation:

It is 6 because there are 6 dots on the outer circle and those are the valence electrons. Also I just did it on Edge. Hope this helps.

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1 year ago

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A 16-inch candle is lit and burns at a constant rate of 0.8 inches per hour. Let t represent the number of hours since the candl

Tamiku [17]

Answer:

<h2>See the explanation.</h2>

Step-by-step explanation:

The initial length of the candle is 16 inch. It also given that, it burns with a constant rate of 0.8 inch per hour.

After one hour since the candle was lit, the length of the candle will be (16 - 0.8) = 15.2 inch.

After two hour since the candle was lit, the length of the candle will be (15.2 - 0.8) = 14.4 inch. The length of the candle after two hours can also be represented by {16 - 2(0.8)}.

Hence, the length of the candle after t hours when it was lit can be represented by the function, $f(t) = 16 - 0.8t$ . $f(t) = 0$ at t = 20.

The domain of the function is 0 to 20.

The range is 0 to 16.

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2 years ago

If two or more polygons are congruent, which statement must be true about the polygons? Read all of the choices before deciding.

hodyreva [135]

The best correct answer is option E. If two or more polygons are congruent, then rigid transformations can be used to map one polygon onto the other. <span>Two figures are said to be congruent when they have the same shape and size or if one object is a mirror image of the other object.</span>

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"Which of the following are continuous functions? (Select all that apply.)

Natasha2012 [34]

Answer:

□ The temperature at a specific location as a function of time.

□ The temperature at a specific time as a function of the distance due west from New York City.

□ The altitude above sea level as a function of the distance due west from New York City.

Step-by-step explanation:

Temperature tends to vary continuously over distance and time.

Altitude rarely changes so abruptly we'd have to say it is a discontinuous function. Even a cliff has a (very high) defined slope.

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The nature of electrical circuits is such that current is never discontinuous. Even when the circuit is disconnected by a switch, the arcing at the switch contacts ensures the current is continuous as it rapidly goes to zero.

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