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Mariana [72]
2 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]2 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]2 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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PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Julli [10]

Answer:

D. (6,3)

Step-by-step explanation:

To the find which point can be located on the line you will have to find the point-slope form

The formula for point-slope form is y=mx+b

m is slope

b is y-intercept

Since we already know the slope we can just replace it:

y=1/2x+b

Now we need to find the y-intercept

We can do this by distributing them with (4,2)

As you remember in point the digits are in x and y

(x,y) so we can tell that 4 is x and 2 is y

Now we can substitute x with 4 and y with 2

2=1/2(4)+b

Multiply 1/2 and 4

which is 2

2=2+b

Thus b=0

So the slope intercept form is y=1/2x

Now we can substitute the other points:

For (5,2):

2=5/2

Which is incorrect since 2 does not equal 5/2

For (2,3):

3=1/2(2)

Which is

3=1

Which is incorrect since 3 does not equal 1

For (3,4)

4=1/2(3)

Which is

4=3/2

Which is incorrect since 4 does not equal 3/2

For (6,3)

3=1/2(6)

Which is

3=3

Which is correct since 3 does equal to 3

Hope this helps!

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2 years ago
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Answer:

Step-by-step explanation:

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