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julsineya [31]
3 years ago
8

Which statement could be used to explain why f(x)=2x-3 has an inverse relation that is a function

Mathematics
2 answers:
Gwar [14]3 years ago
7 0
The <u>correct answer</u> is:

The function is a one-to-one function.

Explanation:

When an equation is graphed, we use the Vertical Line Test to determine if that equation is a function; if a vertical line hits more than one point anywhere on the graph, the graph is not a function.

This corresponds with the definition of a function:  A function is a set of ordered pairs in which each element of the domain (x) is mapped to no more than one element of the range (y).  Since every x has no more than one y, there will be no two points hit by the same vertical line.

When we have the graph of a function, to determine if it has an inverse, we use the Horizontal Line Test: if a horizontal line hits more than one point anywhere on the graph, the function does not have an inverse.

This corresponds with the definition of a one-to-one function:  A function in which every element of the range (y) is mapped to exactly one element of the domain (x). Since every y has one x, there will be no horizontal line that hits more than one point anywhere on the graph.
andrew11 [14]3 years ago
5 0
<span>An inverse function is the relation formed when the independent variable is exchanged with the dependent variable in a given relation. To find this you just have to swap the x and y coordinates. The statement that could be used in this problem to explain why f(x) = 2x - 3 has an inverse relation that is a function is: B) f(x) is a one to one function.

I hope it helps, Regards.<span>
</span></span>
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Simply<br> (2k-9)^2+(k+2)^2=(2k+1)^2+(k-8)^2
vova2212 [387]

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(a+b)^2=a^2+2ab+b^2

Expanding all the binomials, we have

4k^2-36k+81+k^2+4k+4=4k^2+4k+1+k^2-16k+64

Sum like terms:

5k^2-32k+85=5k^2-12k+65

Simplify terms appearing on both sides:

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Move all terms involving k to the left and all numbers to the right:

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6 0
3 years ago
One week, seventy-two percent of the animals that cam to a veterinary hospital were dogs. If there were 230 animals total, how m
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3 0
3 years ago
Twice a number deceased by 7.translate in algebraic expressions​
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8 0
3 years ago
Read 2 more answers
What is the next square number in the list? 49, 64, 81,
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5 0
3 years ago
I have no idea what the answers are
lara [203]

Hello from MrBillDoesMath!

Answer:

Top line: y = (2/3)x + 2

Bottom line:  y = (2/3)x  -1

Discussion:

The graph provided is hard to read but I did the best I could.

The top line appears to pass through the points (0,2) and (-3,0)

For this line

m =  change y /change x = (0-2)/(-3-0) = -2/-3 = +2/3. So

y = mx + b => y = (2/3) x+ b.  As the line passes through (0,2) set x = 0, y= 2 in y = (2/3)x + b =>  

2 = (2/3) 0 + b   => b = 2

Therefore    y = (2/3)x + 2

The bottom line appears to pass through the points (0,-1) and (3,1)

For this line

m =  change y /change x = (1-(-1)) /(3-0) = +2/-3. So

y = mx + b => y = (2/3) x+ b.  As the line passes through (0,-1) set x = 0, y= -1  in y = (2/3)x + b =>  

-1  = (2/3) 0 + b   => b = -1

Therefore    y = (2/3)x + -1

Thank you,

MrB

5 0
3 years ago
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