Answer:
Option d is right
Step-by-step explanation:
A function is called one to one if two x will not have same y value.
In other words, in the domain each x is matched with a unique y and if x1 not equals x2 we have the corresponding y1 will not be equal to y2.
In the graph given, we find that the y value say 1 has preimages in both to the right of y axis and to the left of y axis.
Hence this is not one to one.
This is a function because each x has a unique image. If we draw a vertical line in any part of the graph we find that it cuts only one time the graph of f(x)
Hence f is a function but not one to one. A one to one function need not pass through the origin.
Hence we find that of the options given, a,b and c are wrong.
But option d is right.
Trying to factor by splitting the middle term
Factoring <span> b2-4b+4</span>
The first term is, <span> <span>b2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> -4b </span> its coefficient is <span> -4 </span>.
The last term, "the constant", is <span> +4 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> 1 • 4 = 4</span>
Step-2 : Find two factors of 4 whose sum equals the coefficient of the middle term, which is <span> -4 </span>.
<span><span> </span></span>
<span><span>-4 + -1 = -5</span><span> -2 + -2 = -4 That's it</span></span>
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -2 and -2
<span>b2 - 2b</span> - 2b - 4
Step-4 : Add up the first 2 terms, pulling out like factors :
b • (b-2)
Add up the last 2 terms, pulling out common factors :
2 • (b-2)
Step-5 : Add up the four terms of step 4 :
(b-2) • (b-2)
Which is the desired factorization
120% of 37 is 44.4. Good luck!
