Answer:
The domain for given function is
Step-by-step explanation:
Given :
We have to find the domain of the given function.
Domain of a function is defined as a set of value for which the value of function is real and defined.
Consider the given function
Since there is no points for x where the function f(x) is non defined.
Hence, whole number line is the domain for the given function.
In interval form it is written as
Thus, the domain for given function is
Answer:
The domain of f in interval notation is (-∞,∞)
Step-by-step explanation:
The domain of a function refers to the set of x-values for which the function is defined and is real as well. Given that this is a quadratic function and not a rational function, then the function lacks points of discontinuity. The function is continuous everywhere. In short, the function has no undefined points nor domain constraints
Answer:
A = 62.5
Step-by-step explanation:
I would break this up into two easier cases. the square at the top where three vertices are A,B, and C. and then the triangle for the rest of the area. we can use the distance formula to find the side length of the square.
sqrt((y2-y1)^2 + (x2-x1)^2)
sqrt((5-2)^2 + (-1-3)^2)
sqrt(3^2 + (-4)^2)
sqrt(9 + 16)
sqrt ( 25)
5
so the area of the square is 5^2 =25
now for the triangle. the formula for the area of a triangle is (1/2)bh.
so we can plug in our b=5, but we need to find h.
we use the distance formula between point A and D to find the distance to be 20, but we have to subtract the 5 we already counted in the area of the square. so the height is 15.
so The triangle has area (1/2)×5×15
37.5.
add the two areas together and we get our answer
25+37.5 = 62.5