Exponential functions exhibit exponential growth (or decay). What does this mean to the graphs of these functions? a.. the graph
will rise or fall more dramatically than a polynomial graph. c.. the graphs represent the population of bacteria in your mouth. b.. the graph is three dimensional. d.. the exponent in the equation is less than one
2 answers:
<u>Answer:</u>
The correct option is:
Option: a
a. the graph will rise or fall more dramatically than a polynomial graph.
<u>Step-by-step explanation:</u>
The most basic exponential function is a function of the form
y=b^x
where b is a positive number.
When b>1
the function grows in a manner that is proportional to its original value. This is called exponential growth.
When 0>b>1
the function decays in a manner that is proportional to its original value. This is called exponential decay.
The graph of a exponential function increases or decreases rapidly as compared to a graph of a polynomial function.
Hence, option a is the correct answer.
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<u>Answer-</u>
<em>D. The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly one location.</em>
<u>Solution-</u>
The given polynomial is,
The zeros of the polynomials are,
Therefore, this function has only one real zero i.e 1 and two nonreal zeros i.e ±√6i . The graph of the function intersects the x-axis at exactly one location i.e at x = 1
