Question

Can someone be nice enough to help me please

Answer 1

with what

Answer 2

whats the domain and range for f(x)=-2x+7

Answer 3

it is a line right?

Answer 4

domain is all reals and so is the range

Answer 5

I don't think so

Answer 6

negative infinity to infinity for both

Answer 7

unless you wish to restrict your function in some way, the domain would be assumed to be all real numbers since you can multiply any number by \(-2\) and add \(7\) to any number

Answer 8

Saying that "the domain is the set of all real numbers" is precisely the same as writing the domain as (-inf , +inf).

Answer 9

the domain is all real numbers.. also. our function isn't a fraction so no restriction.

Answer 10

In general, polynomials (of which your function is one) are defined for all real numbers, that is, on the interval (-inf , inf).

Answer 11

So for the range its also negative inf

Answer 12

On the other hand, not all polynomials have unrestricted ranges.
for example, y=x^2 has the range [0, inf]. Translated: "y can have any value from 0 up."

Answer 13

A range is a set. Your "negative inf" is not a set.

Write a set in proper notation. In this case that'd be Range: (-inf , +inf). That's it.

Answer 14

y=1 has domain "all real numbers." What is the range?

Answer 15

so for both is -inf,+inf

Answer 16

y

Answer 17

Pleae enclose that in parentheses: (-inf , inf).

Answer 18

oh okay

Answer 19

Referring to "domain," focus on x and whether there are any restrictions on x or not.
Ref to "range," focus on y and whether there are any restrictions on y or not.

Answer 20

What is the range of y=1?

Answer 21

y

Answer 22

Is that right or wrong

Answer 23

Please remember that a "range" is a set of numbers. The range is not y, altho we do focus on y and try to determine whether or not there are restrictions on y.

Answer 24

its 1

Answer 25

So, if I ask you, "what is the range of y=1?" you need to respond not with " y " but with a SET of numbers. So, again, what do you think is the range?

Yes, the range is the set {1}.

The symbols { and } designate a set.

Answer 26

What is the range of y=x^2?

Answer 27

2

Answer 28

If you know the shape of y=x^2, draw it.
If y ou don't graph it on your calculator.

Answer 29

Is 2 a set?

Answer 30

Does 2 feature the brackets we used before { and } ?

Answer 31

oh I haven't learned that

Answer 32

@mathmale How do you analyze a table on a calculator to find the horizontal and vertical asymptotes and the x and y intercepts?

Answer 33

You could just as well use [0, inf) instead of the curly brackets.

Answer 34

Have you drawn the graph of y=x^2, or at least do you know in your mind what it looks like?

Answer 35

oh okay thanks

Answer 36

I'm asking you what you'd write for "range of y=x^2."

Answer 37

inf 2 ??

Answer 38

Guess you haven't graphed y=x^2 yet. That's a parabola. It goes thru (has a vertex at) (0,0). The smallest y value y=x^2 can have is 0.

there is no upper limit on the value of y.

Thus, the range of y=x^2 is what? Be sure to write your answer as a set, using ( ) or [ , )

Answer 39

The smallest value of y is 0. Write the interval beginning with " [0 "
There's no upper bound on y.

Write the entire range, please.