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Luda [366]
3 years ago
5

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

Mathematics
2 answers:
pantera1 [17]3 years ago
5 0
Exponential functions exhibit exponential growth or decay and this means their graphs will rise or fall more dramatically than a polynomial graph.
nika2105 [10]3 years ago
4 0

<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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Answer:

Hello,

Step-by-step explanation:

y-intercept: x=0 ,f(0)=-10

x^3-8x^2+17x-10\\\\=x^3-5x^2-3x^2+15x+2x-10\\\\=x^2(x-5)-3x(x-5)+2(x-5)\\\\=(x-5)(x^2-3x+2)\\\\=(x-5)(x^2-x-2x+2)\\\\=(x-5)(x(x-1)-2(x-1))\\\\=(x-5)(x-1)(x-2)\\

x-intercepts are: 5,1,2.

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