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Mariana [72]
3 years ago
15

1.What effect does replacing x with x−4 have on the graph for the function f(x) ?

Mathematics
2 answers:
vampirchik [111]3 years ago
5 0
<h2>Answer with explanation:</h2>

Ques 1)

We know that the transformation of the type:

          f(x) → f(x-k)

shifts the graph of the parent function f(x) k units to the right.

Hence, on  replacing x with x−4 the graph of the function f(x) will be shifted 4 units to the right.

The correct option is:

       The graph is shifted 4 units right.

Ques 2)

For finding the hole of a rational function we first factor the numerator and denominator of the function and then the roots of the factor which is common to both numerator and denominator is the hole of the graph.

Here we have a rational function as:

f(x)=\dfracPx^2+3x-28}{x+7}

which on factoring we get:

f(x)=\dfrac{(x+7)(x-4)}{x+7}

Hence, the common factor is: x+7

and the root of the factor is:  x= -7

Hence, the hole in the graph of function f(x) is:

                 x= -7

Ques 3)

We are given a function h(x) as:

h(x)=  {x  if  x≤ -1

    and -x if x> -1

The graph is a straight increasing line with positive slope in the interval (-∞,-1] and there is a closed circle at (-1,-1)

and also the graph is a straight decreasing line with negative slope in the interval (-1,∞) and there is a open circle at (-1,1).

The correct graph is attached to the answer.

Gwar [14]3 years ago
3 0

Answer:

The absolute value wiill change

Step-by-step explanation:

Inserting different values in the absolute value can change the numerical value of the equation as a whole.

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F(-4) for f (x) = -4x+9<br>f(-4)=?
Dovator [93]

F(x)= -4x+9

Multiply f*x

xF=9+4x

Solve for X: -4x+xF=9+4x-4x=0

Combine like terms: -4x+4x=0

-4x+xF=9+0= 9

-9+-4x +xF = 0.

3 0
3 years ago
Simplify: 5(3x -4) - 6( 4 - 3x)
VikaD [51]

Answer:

33x-44

Step-by-step explanation:

15x-20-24+18x

33x-44

5 0
3 years ago
Solve on the interval [0,2pi):<br>3 sec x-1 = 2​
Lelechka [254]

Answer:

0

Step-by-step explanation:

3 0
3 years ago
Difference between 1 8/10 and 2 2/5
Eva8 [605]
The first step to solving this is converting these mixed numbers into improper fractions. You would do that by multiplying the denominator by the whole number and adding the numerator to that number; this number replaces the numerator. It would look something like this:

1 8/10   -->   18/10
2 2/5   -->   12/5

Now, to subtract the second fraction from the first one, the denominators of both fractions must be the same. We can make them the same by multiplying the second fraction by 2:

12/5 * 2/2 = 24/10

Now we can set up the equation as:

18/10 - 24/10 = -6/10   -->   -3/5

The answer is negative 3/5.

I hope this helps.
5 0
3 years ago
What is the answer or question hurry it’s due tomorrow
Gala2k [10]
4,400 + 17,600 = 22,000.

4,400 / 22,000 = 0.2

0.2 = 20%

The answer is A.

Hope this helped☺☺
7 0
3 years ago
Read 2 more answers
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