What is the domain and range of #y=-5^x# ?

What is the domain and range of #y=-5^x# ?

1 Answer
VNVDVI
Mar 2, 2018

Domain: #(-oo,oo)# Range: #(-oo,0)#

Explanation:

By default, the domain of the exponential function, or the #x# values for which it exists, is #(-oo, oo)#

The range of the parent exponential function, #y=b^x,# where #b# is the base, is #(0,oo)# because by default, the exponential function can never be negative or zero, but it keeps increasing forever.

Here, #b=-5#. The negative implies that we've flipped the graph of our function about the #x#-axis; therefore, our range will be #(-oo,0)#, because our function will never be positive (the negative sign ensures that) or zero and keeps decreasing forever due to the negative.

Related questions
Impact of this question
1978 views around the world
You can reuse this answer
Creative Commons License