Find the domain D and range R of the function f(x)=|9+2x|. (Use symbolic notation and fractions where needed. Give your answers as intervals in the form (∗,∗). Use the symbol [infinity] for infinity and the appropriate type of parenthesis "(", ")", "[", or "]" depending on whether the interval is open or closed.)

Domain of the function 'f' →

Range of the function 'f' →

Step-by-step explanation:

Parent function of an absolute function is,

g(x) = |x|

Domain of the parent function →

Range of the parent function →

If the function 'g' is vertically stretched by a factor of 2, the new function will be,

h(x) = |2x|

Function 'g' is translated by 9 units to the left, then the new function will be,

f(x) = |2x + 9|

By shifting the parent function on x-axis domain of the function will remain same as of the parent function.

Domain of the function 'f' →

Since, there is no shifting along the y-axis therefore, Range of the function will remain the same as the parent.

Range of the function 'f' →

pentagon

step-by-step explanation:

the coordinates   a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

your answer is 228

step-by-step explanation:

add the top and bottom bases together, then divide them by 2, then multiply by the height.