For this, I am assuming that -25/2 is not a part of the exponent(although in future questions you should make this clear by using parenthesis.
When I do problems like this, I come to CBAD. where the variables are y=A(Bx+C)+D
CBAD helps significantly in domain and range problems where there is a well known parent function. (y=x^2, y=sqrt(x), y=1/x, y=x, etc). Basically, if there is a parent function with slight additions(y=2*x^2, y=sqrt(x+1), y=1/(5x), y=3x, etc)
This works that in the order, a C term shifts the graph horizontally in the opposite direction expected (a negative number will shift right, a positive number will shift left). For example, if C is -2, the graph of the parent function will shift right 2.
Then, a B term dilates(changes the horizontal size of the graph) by the factor 1/B(every x value is multiplied by 1/B). Thus a B >1 will shrink the graph horizontally, and a 0<B<1 with stretch the graph horizontally. If B is negative, it reflects the graph over the y axis and then either shrinks or stretches horizontally. If B is 1, nothing changes.
Then, a A term dilates(changes the horizontal size of the graph) by the factor A(every y value is multiplied by A). Thus a A >1 will stretch the graph vertically, and a 0<A<1 with shrink the graph vertically. If A is negative, it reflects the graph over the x axis and then either shrinks or stretches vertically. If A is 1, nothing changes.
Finally, a D term shifts the graph vertically in the direction expected (a negative number will shift down, a positive number will shift up). For example, if D is -2, the graph of the parent function will shift down 2.
<u>Warning </u><u></u><u>CBAD must be performed in the order C-B-A-D</u>
Now that you know these simple rules and can memorize the few parent functions, you can figure out the domain and range of almost any function.
In your case, the function x^(2)-25/2 is not much different than x^2, an upwards facing parabola centered at (0,0). In fact, there is only one transformation, D, because C=0 (it is not shown), B=1(it is not shown), and A=1(it is not shown). Thus the only difference between your graph and the parent function is that yours is shifted down by 25/2.
For this reason, because the domain of x^2 is not restricted (it includes all real numbers), the domain of your new function is not restricted (it includes all real numbers).
She/he could use 2 12x3 in of wood and 1 4x2 so now we will take all of the numbers and see what we get when we calculat them so when we take the 2 12x3 we will get 72 and then we will add 72 to 4x2 after we multiply them so when we multiply the 4x2 we will get 8 and now will we add 72 to the 8 and we will get a 80 for your answer hope that is the right answer if it is not sorry
Answer:
The answer is $28.56
Step-by-step explanation:
To find the 2% sales tax, you need to multiply the 2% or 0.02 by 28.
Doing this will give you 0.56.
Then you add 0.56 to 28 to get 28.56, hence, $28.56 is the total cost.
Hope it helps!
Answer:
1.function 1 has a greater rate of change than function 2
3. Function 1 has a greater y-intercept than function 2
Step-by-step explanation:
Using the table we can find the slope using
m = (y2-y1)/ (x2-x1)
m = (29-5)/ (8-0)
= 24/8
= 3
The rate of change for the table is 3
The y intercept is (0,5)
Using the graph (0,-1) and (2,0)
m = (y2-y1)/ (x2-x1)
m = (0--1)/ (2-0)
= (0+1)/2
= 1/2
The y intercept is (0,-1)
Since 3>1/2 , function 1 has a greater rate of change than function 2
Since 5>-1, function 1 has a greater y-intercept than function 2
Answer:
4
−
3
Step-by-step explanation: