Answer:
(d) exponential
Step-by-step explanation:
You are given a graph of a curve that is concave upward and has a horizontal asymptote. Apparently, you are to identify the sort of function that has a graph like this.
__
Of the offered choices, the only kind of function that graphs as a curve with a horizontal asymptote is exponential.
__
other answers
Linear (a) and Absolute Value (b) functions graph as straight lines (or straight lines in a ∧ or ∨ shape).
Polynomials (c) will not have a horizontal asymptote. Instead, they extend to ±∞ as |x| gets large.
_____
Additional comment
The graph is not carefully drawn. On the right, each unit increase in x should reduce the function value by a factor of 1/2. That seems true for x=1 and x=2, but not for x > 2. On the left, each unit decrease in x should increase the function value by a factor of 2. That is true for x=-1, but not for x=-2. The left side of the graph of an exponential decay function gets very steep, but is never vertical. The attachment shows an actual exponential graph.
