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Valentin [98]
3 years ago
13

What is the range of the linear parent function

Mathematics
2 answers:
lara31 [8.8K]3 years ago
8 0

Answer:

The range of the linear parent function is all real numbers. It can also defined as (-∞,∞).

Step-by-step explanation:

The linear parent function is in the form of

y=x

This function is defined for all values of x. It means the domain of linear parent function is the set of all real numbers.

Domain=(-\infty,\infty)

According to this function, the value of y is equal to the value of x. It means the function has same input and output values. It means the range of linear parent function is the set of all real numbers.

Range=(-\infty,\infty)

Therefore the range of the linear parent function is all real numbers. It can also defined as (-∞,∞).

kotegsom [21]3 years ago
5 0

Answer:

↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓↓

Step-by-step explanation:

The graph of the linear function f(x) = ax + b is a line with slope m = a and y-intercept at (0, b).

Characteristics of the Linear Function: Domain: the set of all real numbers.

Range: the set of all real numbers.

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Alchen [17]

Answer:

A and E

Step-by-step explanation:

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3 years ago
What number goes in the box to show the
Ratling [72]

Answer:

3 because 3 x 2 + 3 x 8 = 30 and 3(2+8)=30

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Please review the following attachment. Thanks!
vaieri [72.5K]

Answer:

C: I and III only.

Step-by-step explanation:

We have two numbers x and y such that:

-y

And we want to determine which of the following conditions must be true.

First, let's examine the third condition. We have:

y>0

To see if this is true, let's try a negative value for y. So, let's use -7. This will give:

-(-7)

Simplify:

7

This is saying we need a number less than -7 and greater than 7.

This is impossible. So, y <em>must be</em> greater than 0.

Therefore, Condition III must be true.

Next, let's see this compound inequality visually.

Picture the following number-line:

<----------(-y)----------0----------y---------->

Whatever y is, -y is just y on the negative side.

Now, since our condition is that -y<x<y, this means that our x can be anywhere between -y and y. Namely:

<----------(-y)----------0----------y---------->

To determine our correct condition, let's picture x anywhere on the bolded lines. I'm just going to put x here...

<----------(-y)-------(x)--0----------y---------->

Now, remember the alternative definition for absolute value. Namely, the absolute value of x is also the <em>distance</em> from 0 to x. And this distance is always positive.

Since our x is between -y and y, our distance from 0 to x will always be less than the distance from 0 to either y.

Therefore, Condition I is also true.

Let's try an example. Let's let y = 9. So, -y=-9. And let's let x be between 9 and -9, say, -2. So:

<---(-9)-----(-2)--0--------(9)------>

We can see that:

|-2|=2\stackrel{\checkmark}{

Also, this example counters Condition II, as our x can indeed be negative if we desire it.

Algebraically, if we have a negative x such that:  

-y

We can divide everything by -1 to obtain:

y>x>-y

We can flip this to get:

-y

Which is our original inequality. So, Condition II does not need to be true.

So, the two conditions that <em>must</em> be true is I and III.

So, our answer is C.

3 0
3 years ago
102+900=1002 More. Then 100
Ksivusya [100]
Hello!

I don't exactly understand your question. If you mean to be asking whether or not 1002 is geater than 100, it is.

If you mean to be asking to add it: 102 + 900 + 100 = 1102
5 0
2 years ago
Read 2 more answers
Find all zeros for (2x-1)(x-5)
NeTakaya
To do this set each of the factors to 0:

2x - 1 = 0
2x = 1
x = 1/2

x - 5 = 0
x = 5

Hope this helps!
5 0
3 years ago
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