Question

sketch the graph and find the domain and range of f(x) = 2x-1​

Answer 1

Answer:

Let me use my graphing software for it.

Step-by-step explanation:

Check the attachment for the graph.

Domain and Range

"The graph of a linear function is always a line"

- NCERT

" A line has no end points, it can be produced in either direction infinitely."

- NCERT

So by these two statements, we can conclude that

1. The graph of a linear function can be produced infinitely, in either direction.
2. Which means that... The range of a linear function is from - Infinity to + Infinity.
3. So, range of f (x) = 2x-1:-

= [ - Infinity, Infinity]

Also, a linear function is one to one.

Which means that there is only one value of y for a unique value of x.

So since there are infinite y - points (range is from - infinite to infinite), there are also... Infinite x points.

So, domain of this function, and even every linear function = [-Infinity, Infinity].

And here is a notice (and request) for you, My friend...

If you have more interesting mathematical problems, then please mail me at:-

[email protected]

I'm a 10th graded student and I love learning mathematics. So I keep learning new topics. So please email me your problems.

This will be helpful for both of us.

And don't be worried about the standard of the problem. Even if I'm a 10th graded student, I would solve ANYTHING.

Just share.

Answer 2

Step-by-step explanation:

Given: $f(x) = 2x - 1$

To find: Sketch the graph of the given function and find the domain and range.

Solution:

Step 1: Draw graph of function.

Let

$f(x) = y$

So,

$y = 2x - 1$

Put

$x = 0$

$y = 2(0) - 1$

$y = - 1$

Thus, one point is $A(0, - 1)$

Put

$x = 1$

$y = 2(1) - 1$

$y = 1$

Another point is $B(1,1)$

Mark these points in graph as shown in attachment.

Draw a line joining both points.

Step 2: Find domain and range of function.

Because the function f(x) is a linear function, and graph is a straight line,which is defined for every x.

Thus,

Domain of function is $(-∞ ,+∞)$

For every value of x their is a unique value of y.There is no such value of x for which value of y can't be calculated or exists.

Thus,

Range of function is $(-∞ ,+∞)$

Final answer:

Graph of function $f(x) = 2x - 1$ is attached and Domain and range are both $(-∞ ,+∞)$

Hope it will help you.

Learn more:

1) Find Domain and and range:

f(x)=√x²-16

https://brainly.in/question/10577099

2) Draw the graph of the

the constant function,

F (x) = 2, XER. Also find its domain and range.

https://brainly.in/question/19139403