SOLUTION: What is the range of standard exponential functions? also, exponential functions are asymptotic to the x-axis. a. f(x) ∈ (0, ∞) b. f(x) ∈ (-∞, ∞)

Question 152876: What is the range of standard exponential functions?
also, exponential functions are asymptotic to the x-axis.
a. f(x) ∈ (0, ∞)
b. f(x) ∈ (-∞, ∞)
c. f(x) ∈ [0, ∞)
d. f(x) ∈ [1, ∞)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
If you graph something like , you get

Graph of

From the graph, notice that x doesn't cross the x-axis. So this means that the range of any standard exponential function in the form of is

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SOLUTION: What is the range of standard exponential functions? also, exponential functions are asymptotic to the x-axis. a. f(x) &#8712; (0, &#8734;) b. f(x) &#8712; (-&#8734;, &#8734;)

SOLUTION: What is the range of standard exponential functions? also, exponential functions are asymptotic to the x-axis. a. f(x) ∈ (0, ∞) b. f(x) ∈ (-∞, ∞)