Answer:
The domain and range of function is the set of all possible inputs and outputs of a function respectively.
The domain and range of a function y = f (x) is given as domain= {x ,x∈R }, range= {f (x), x∈Domain}.
The domain and range of any function can be found algebraically or graphically.
Answer:
2x + 3y ≥ 5
Step-by-step explanation:
See the graph attached.
The bold straight line passes through the points (1,1) and (4,-1).
Therefore, the equation of the straight line will be
⇒ 3(y + 1) = - 2(x - 4)
⇒ 3y + 3 = - 2x + 8
⇒ 2x + 3y = 5 ............. (1)
Now, the shaded region i.e. the solution to the inequality does not include the origin(0,0).
So, putting x = 0 and y = 0 in the equation (1) we get, 0 < 5
Therefore, the inequality equation is 2x + 3y ≥ 5 (Answer)
The answer will be y^2/4 (I’ve written up properly on the photo as I can’t type it)
Answer:
-b -3/2
Step-by-step explanation:
-1/2(8b+3) + 3B (a negative times a positive equals a negative)
1. Mutiply -1/2 by 8b and then by 3
(-1/2 x 8b -1/2 x 3) + 3b
-4b - 3/2 + 3b
2. Add -4b + 3b = -b
-b - 3/2