SOLUTION: Compare the number of intercepts and end behavior of an exponential function in the form of y=A(b)^x, where A > 0 and 0 < b < 1 to the polynomial where the highest degree tern is -

Question 1075973: Compare the number of intercepts and end behavior of an exponential function in the form of y=A(b)^x, where A > 0 and 0 < b < 1 to the polynomial where the highest degree tern is -2x^3, and the constant term is 4
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Compare the number of intercepts and end behavior of an exponential function in the form of y=A(b)^x, where A > 0 and 0 < b < 1 to the polynomial where the highest degree tern is -2x^3, and the constant term is 4
-------
y = A(b)^x where A > 0 and 0< b <1
x-intercepts:: 0
end behavior:: as x goes to -oo, y goes to +oo; as x goes to +oo y goes to 0
--------------------
y = -2x^3 + 4
x-intercepts:: 1
end behavior:: as x goes to -oo y goes to +oo; as x goes to +oo y goes to -oo
-------------
Cheers,
Stan H.
-------------
RELATED QUESTIONS
List the similarities and differences in the two function below in terms of the... (answered by ikleyn)

Analyze the graph of the following function as follows: (a) Find the x- and... (answered by lwsshak3)

A) How is the end behavior of a polynomial graph determined? Completely describe all 4... (answered by greenestamps)

Please help me solve this problem: Graph the polynomial function, showing x and y... (answered by sarahschober)

Can someone please explain this to me? I have no idea where to even start! Much... (answered by stanbon)

Describe the graph of the function f(x) = x3 − 11x2 + 36x − 36. Include the... (answered by josgarithmetic)

f(x)= -2x(x-5)(x+1)(x-2)^2 X and Y intercepts The end behavior of the... (answered by Fombitz)

In the polynomial equation: y=x(4)-7x (2)+3 , check all that apply.  The... (answered by fractalier)

2. Check for symmetries, find intercepts and asymptotes, analyze the behavior near the... (answered by jim_thompson5910)