Answer:
The graph in the attached figure
Step-by-step explanation:
we have
isolate the variable y
Adds 10 both sides
Divide by 2 both sides
The solution of the inequality is the shaded area below the dashed line
The slope of the dashed line is positive
The y-intercept of the dashed line is (0,5) (value of y when the value of x is equal to zero)
The x-intercept of the dashed line is (-3.33,0) (value of x when the value of y is equal to zero)
using a graphing tool
The graph in the attached figure
Answer:
The vertex of the parabola is the maximum value, i.e.,(-1,0). The function is increasing x<-1. the function is decreasing x>-1. the domain of the function is all real numbers. the range of the function is all real numbers less than or equal to 0.
Step-by-step explanation:
The given function is
....(1)
The general vertex form of the parabola is
.....(2)
Where, (h,k) is vertex and a is stretch factor.
On comparing (1) and (2), we get
The vertex of the parabola is (-1,0). Since a=-1<1 so it is a downward parabola.
The axis of symmetry is x=-1. So, before -1 the function is increasing and after -1 the function is decreasing.
The vertex of a downward parabola is the point of maxima. So, the rang of the function can not exceed 0.
Therefore the vertex of the parabola is the maximum value, i.e.,(-1,0). The function is increasing x<-1. the function is decreasing x>-1. the domain of the function is all real numbers. the range of the function is all real numbers less than or equal to 0.