SOLUTION: Consider Y= 2e^(-x)+1 a. Find Y when x=0, +/-1, +/-2 b. Discuss Y as x--> +/- infinity c. Sketch the graph of y=2e^(-x)+1 d. State the equation of any asymptote

Question 1092233: Consider Y= 2e^(-x)+1
a. Find Y when x=0, +/-1, +/-2
b. Discuss Y as x--> +/- infinity
c. Sketch the graph of y=2e^(-x)+1
d. State the equation of any asymptote
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
When x=0, the value is 2(1)+1=3; at 1 it is (2/e)+1, or about 1.74; at -1 it is 2e+1, or about 6.4,
At 2, it is 2/e^2 +1 or about 1.27; at -2, it is 2e^2+1 or about 15.8
------------
when x goes to +oo , y goes to +1. y=1 is the asymptote.
When x goes to -oo, y goes to +oo

RELATED QUESTIONS
Population Growth: A population is increasing according to the exponential function... (answered by josgarithmetic)

Find the derivative of... (answered by richard1234)

consider the power function with rule y=(x+2)^3-1. a, sketch the graph of this power... (answered by jim_thompson5910)

what is the inverse of y=... (answered by ikleyn,greenestamps)

consider the polynomial p(x), shown in both standard form and factored form. P(x)=1/10... (answered by solver91311)

Find a) vertex, b ) focus, c) directrix, d) symmetry axis, e) focal distance of the... (answered by lwsshak3)

I have 2 questions: 1. {{{y=5^(x)}}} {{{y=5^(2x) -1}}} 2. {{{y=2e^(2x)}}}... (answered by josgarithmetic)

given f(x)=4x^2-1 /x^2-16 a. Find the x-intercept(s). b. Find the y-intercept(s).... (answered by stanbon)

On the graph for: y =2x^2-5x+3/x^2-x-2 , what happens as x approaches negative infinity? (answered by stanbon)