The University of Sydney
Faculty of Economics and Business  
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Exponential graphs - Quiz 3   Last unanswered question  Question  Next unanswered question

Question 1 lion

What is the value of the function   f (x) = e-x+2    when  x = - 1 ,    correct to 3 decimal places?
a) 2.718.   b) 4.718.
c) 20.086.   d) 2.368.

 

Not correct. Choice (a) is false.
Try again, you have calculated   e-1+2 = e.
Not correct. Choice (b) is false.
Try again, you have calculated   e+ 2 .
Your answer is correct.
f(- 1) = e1+2 = e3 = 20.08553 = 20.086
Not correct. Choice (d) is false.
Try again, you have calculated   e-1 + 2.
Question 2 lion

Which of the following graphs represents   y = e2x?
a) y = f(x)
PIC
  b) y = f(x)
PIC
c) y = f(x)
PIC
  d) y = f(x)
PIC

 

Not correct. Choice (a) is false.
Try again, this is         2x
y = - e .
Your answer is correct.
This is       2x
y = e .
Not correct. Choice (c) is false.
Try again, this is        -2x
y = e   .
Not correct. Choice (d) is false.
Try again, this is         - 2x
y = - e   .
Question 3 lion

Which of the following graphs represents       x-1
y = e  ?
a) y = f(x)
PIC
  b) y = f(x)
PIC
c) y = f(x)
PIC
  d) y = f (x)
PIC

 

Not correct. Choice (a) is false.
Try again, this is   y = ex+1,    the graph   y = ex    has been moved 1 unit left.
Not correct. Choice (b) is false.
Try again, this is   y = ex - 1,    the graph   y = ex    has been moved one unit down.
Not correct. Choice (c) is false.
Try again, this is the graph   y = ex + 1,    the graph   y = ex    has been moved one unit up.
Your answer is correct.
This is   y = ex-1 ,    the graph   y = ex    has been moved 1 unit right.
Question 4 lion

Which of the following graphs represents   y = 2- ex ?
a) y = f(x)
PIC
  b) y = f(x)
PIC
c) y = f (x)
PIC
  d) y = f(x)
PIC

 

Not correct. Choice (a) is false.
Try again, this is   y = e1-x,    the graph   y = e-x    has been moved 1 unit left.
Your answer is correct.
This is          x
y = 2 - e ,    the graph         x
y = - e    has been moved two units up.
Not correct. Choice (c) is false.
Try again, this is   y = ex-2,    the graph   y = ex    has been moved 2 units right.
Not correct. Choice (d) is false.
Try again, this is the graph            x
y = - 2- e ,    the graph         x
y = - e    has been moved two units down.
Question 5 lion

Which of the following functions decreases most rapidly when   x > 0.
a) f(x) = e- x.    b) f(x) = e- 12x.
c) f(x) = e- 2x .    d)        3x
f(x) = e .

 

Not correct. Choice (a) is false.
Try again, this function decreases rapidly, but not most rapidly.
Not correct. Choice (b) is false.
Try again, this function decreases rapidly, but not most rapidly.
Your answer is correct.
PIC
Not correct. Choice (d) is false.
Try again, this function increases when   x > 0.