The University of Sydney
Faculty of Economics and Business  
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Graphing Exponential Functions - Quiz 1   Last unanswered question  Question  Next unanswered question

Question 1 lion

Which of the following graphs represents y = 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 = e-x .
Not correct. Choice (b) is false.
Try again, this is y = - ex .
Your answer is correct.
This is y = ex .
Not correct. Choice (d) is false.
Try again, this is y = - e- x.
Question 2 lion

Which of the following graphs represents y = 2e-x?
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        x
y = - 2e  .
Not correct. Choice (b) is false.
Try again, this is        - x
y = - 2e   .
Not correct. Choice (c) is false.
Try again, this is      x
y = 2e .
Your answer is correct.
This is      -x
y = 2e  .
Question 3 lion

Which of the following graphs represents     x
y = e + 2 ?
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-2,  the graph y = ex has been moved 2 units right.
Not correct. Choice (c) is false.
Try again, this is y = ex- 2,  the graph y = ex  has been moved two units down.
Your answer is correct.
The graph y = ex  has been moved two units up to give y = ex + 2.
Question 4 lion

Consider the functions graphed below.
PIC
Which of the following functions is the most likely function to represent f(x)?
a)          x
f(x) = 1.5 .    b)         x
f(x) = 3 .
c)         x
f(x) = 2e .    d)        x
f(x) = 6 .

 

Not correct. Choice (a) is false.
Try again, f (x)  is between     x
y = 2  and     x
y = 5 .
Your answer is correct.
f(x)  is between     x
y = 2  and      x
y = 5 .
Not correct. Choice (c) is false.
Try again, f(x)  does not go through (0,2).
Not correct. Choice (d) is false.
Try again, f (x)  is between     x
y = 2  and      x
y = 5 .
Question 5 lion

Which of the following graphs represents y = e-x2 ?
a) y = f(x)
PIC
  b) y = f(x)
PIC
c) y = f(x)
PIC
  d) y = f(x)
PIC

 

Your answer is correct.
The function has a maximum value of 1 and must be symmetrical about the y  -axis so this is the only possible correct answer.
Not correct. Choice (b) is false.
Try again, this is          x2
y = 12- e  .
Not correct. Choice (c) is false.
Try again, this is      x2
y = e  .
Not correct. Choice (d) is false.
Try again, this is y = e-x.