Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

(1 point) The graph of the functionf(x)-e* - 3 can be obtained from the graph of

ID: 3137640 • Letter: #

Question

(1 point) The graph of the functionf(x)-e* - 3 can be obtained from the graph of g(xeby one of the following actions: (a) reflecting the graph of g(x) in the x-axis; (b) reflecting the graph of g(x) in the y-axis; your answer is (input a or b) then, by one of the following actions (a) shifting the resulting graph to the right 3 units; (b) shifting the resulting graph to the left 3 units; (c) shifting the resulting graph upward 3 units; (d) shifting the resulting graph downward 3 units; Your answer is (input a, b, c, or d) Is the domain of the function f(x) still (-oo, oo)? Your answer is (input Yes or No) The range of the function f(x) is (A, oo), the value of A is

Explanation / Answer

f(x)=e^x
f(-x)=e^(-x)
this is reflection over y axis

therefore for first blank answer is b
f(-x)=e^(-x)-3 is moving 3 units to downwards
so second blank is option d

domain is the set of values of x for which function is defined.
domain: (-
?,?)

range: minimum value of y is a little greater than -3
hence range is (-3,infinity) or (-3,
?)