22.12.2021

Which is the function represented by the table?
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 2, negative 1, 0, 1. Column 2 is labeled f (x) with entries negative 8, negative 4, 0, 4.
f (X) = 4 x
f (x) = x - 6
f (x) = x + 4
f (x) = -4x

. 9

Faq

Mathematics
Step-by-step answer
P Answered by PhD

f(x)=4x

Step-by-step explanation:

Given: See the attached image

To find: the function represented by the table

Solution:

A function is a relation in which every element of the domain has a unique image in the co-domain.

f(-2)=-8=4(-2)\\f(-1)=-4=4(-1)\\f(0)=0=4(0)\\f(1)=4=4(1)

Here, -2,-1,0,1 are elements in the domain and -8,-4,0,4 are elements in the co-domain.

Therefore, the table represents the function f(x)=4x

Mathematics
Step-by-step answer
P Answered by Specialist

Answer is D. 1

Step-by-step explanation:

The answer is D on Edge.   (VERIFIED Edge Answer)

Make sure to click "thanks" and rate this answer to let others know this is the correct answer for this question.  

Edge Tip: Answers do not mix or change.

Mathematics
Step-by-step answer
P Answered by Specialist

Answer is D. 1

Step-by-step explanation:

The answer is D on Edge.   (VERIFIED Edge Answer)

Make sure to click "thanks" and rate this answer to let others know this is the correct answer for this question.  

Edge Tip: Answers do not mix or change.

Mathematics
Step-by-step answer
P Answered by PhD

f(x) ≥ 0 over the interval [5, ∞). is a valid prediction.

Step-by-step explanation:

We graph the points in the table and analyze the graph that results.

The graph is attached.

With the graph in hand, let us evaluate each of the choices given.

f(x) ≥ 0 over the interval [5, ∞).

The function is positive for x  ≥ 0; therefore this looks like a valid prediction.

f(x) ≤ 0 over the interval [–1, ∞).

f(x) ≤ 0 only over the interval [-1,5}; therefore this choice not a valid prediction.

f(x) > 0 over the interval (–∞, 1).

f(x) > 0 over the interval (5, ∞]: this choice is not a valid prediction.

f(x) < 0 over the interval (–∞. –1).

f(x) < 0 over the interval [-1, 5]: this choice is also not a valid prediction.

Thus only 1st choice is correct: f(x) ≥ 0 over the interval [5, ∞).


A2-column table with 7 rows. the first column is labeled x with entries negative 5, negative 3, nega
Mathematics
Step-by-step answer
P Answered by PhD

Option B.

Step-by-step explanation:

The given table of values is

x         f(x)

-3       -2

-2        0

-1         2

0         2

1          0

2        -8

3        -10

4        -20

We need to find the interval for which the function f(x) is positive.

From the given table it is clear that the value of function f(x) is negative before -2 and after 1.

The function positive between x=-2 and x=1. So, we can conclude that the function f(x) is positive for the interval (-2,1).

Therefore, he correct option is B.

Mathematics
Step-by-step answer
P Answered by PhD

Step-by-step explanation:

So I'm going to  make the table here.

x     f(x)

-3     -2

-2     0

-1     2

0     2

1     0

2     -8

3     -10

4     -20

Without looking at the answers we are going to deduce what intervals could make f(x) positive.  Well, where  is it shown as positive for the numbers given?  well f(-1) and f(0) are positive, both at 2.  then both f(-2) and f(1) are 0, then everything below -2 and above 1 make f(x) negative, so it looks like everything up until -2 is negative, but increasing then at -2 it turns to 0 and keeps increasing  at least until some time after f(-1).  It might even just stay at 2 until it gets to f(0), and then after that it decreases.  Hopefully that makes sense.

Given the description, and if you on't understand I can try to explain more carefully, where does it look like it's positive?  Well, it goes from negative to 0 at -2, then after that it's positive until 1, where it turns to 0 again, before decreasing.    so everything between -2 and 1 look to make f(x) positive.  Since f(-2) and f(1) don't themselves though it means they are not included, so you use parenthesis.

so the answer is (-2,1)  Again, let me know if you need more of an explanation.

Mathematics
Step-by-step answer
P Answered by Specialist

Third table  represents the second piece of the function f(x)

Step-by-step explanation:

The second piece of the function f(x) is f(x)=8-2x

Now, we substitute some values of x and find the corresponding function values and check which table satisfy the points.

For x = 1

f(1)=8-2(1)\\f(1)=6

For x = 2

f(2)=8-2(2)\\f(2)=4

For x = 3

f(3)=8-2(3)\\f(3)=6

Among the given tables, third tables contains these values.

Third table  represents the second piece of the function f(x)

Mathematics
Step-by-step answer
P Answered by Specialist

Third table  represents the second piece of the function f(x)

Step-by-step explanation:

The second piece of the function f(x) is f(x)=8-2x

Now, we substitute some values of x and find the corresponding function values and check which table satisfy the points.

For x = 1

f(1)=8-2(1)\\f(1)=6

For x = 2

f(2)=8-2(2)\\f(2)=4

For x = 3

f(3)=8-2(3)\\f(3)=6

Among the given tables, third tables contains these values.

Third table  represents the second piece of the function f(x)

Try asking the Studen AI a question.

It will provide an instant answer!

FREE