Question

7. The graph of g(x) is given below. State the domain and range of g(x) using interval notation. 9(2) 27 a. (4 pt) Give the domain and range of g(x). DOMAIN RANGE b. (6 pt) Use transformations to draw the graph of y = g( x) +1.

Answer 1

7) Solution: Here first find the domain and range of given function and then sketch the graph of given function by using transformation

7) Solution : a] The domain of a function is the all possible van Of x where function is defined and ponge of function is all values of function corresponding to a values of domain By observing the graph function is defined for all real numbers Hence, domain = (-0,0). And the lowest function value is -1. So, Range = [-,0). b] to drow : The graph of y= 965X) + d. by using transformations

When (independent variable 9x multiplied by negative factor'h'then graph of original Function Stretches by a factor horizontally. and when we add "b" units in function then the graph of original function shifts upward vertically by"b". So, bere the given graph of gou) stretches by horizontally and shifts upward by I unit. So, the graph of y=96+x)++ is as follows :

y-axis -10 x-axis