Answer:
Step-by-step explanation:
For the function to have a domain of all reals, the denominator cannot have a value of zero. x^2 + 2cx + 14 will not have zero as a root if it has no real solutions. A quadratic equation has no solutions when the discriminant is negative.
b^2 - 4ac < 0
(2c)^2 - 4(1)(14) < 0
4c^2 - 56 < 0
4c^2 < 56
c^2 < 14
Answer:
17/2
Step-by-step explanation:
The graph of the given absolute funciton |2xd-5| is attached below
Find the area of each triangle using the graph
Take the area from x=0 to 4
break the graph into two right angle triangle
Area of the triangle = 1/2 times base times height
Green triangle x=2.5 to 4
base = 3/2 and height = 3
Area of green part =
Red triangle x=0 to 2.5
base = 5/2 and height = 5
Area of red part =
Total area=
