Open Question: Functions and Their Graphs?
f(x) = x2
Choose from the following functions:
g(x) = (x – 2)2 ; h(x) = x2 – 2 ; i(x) = (x + 3)2 ; j(x) = (x + 1)2 + 3
a)
Answer:
Function:
Description of transformation:
b)
Answer:
Function:
Description of transformation:
c)
Answer:
Function:
Description of transformation:
d)
Answer:
Function:
Description of transformation:
2. Find the domain of the function and express the answer in interval notation. Explain in words or show the calculations.
a) f(x) = 4x2 – 7x + 3
Answer:
Show Work or Explain in Words:
b) g(x)=10/x+7
Answer:
Show Work or Explain in Words:
c) f(x)=/4x-16
Answer:
Show Work or Explain in Words:
d) g(x)=2x/x-3
Answer:
Show Work or Explain in Words:
e) f(x) = 3x - 9
Answer:
Show Work or Explain in Words:
3. Find the specified asymptotes of the following functions. Recall that asymptotes are lines therefore the answer must be given as an equation of a line.
a) Find the equation of the vertical asymptote of the function : f(x)=4/x+5
Answer:
Show Work or Explain in Words:
b) Find the equation of the horizontal asymptote of the function: g(x)=5x^2-4/x+1
Answer:
Show Work or Explain in Words:
c) Find the equations of both the vertical and horizontal asymptotes of the function: f(x)=3x-1/x+4
Answer:
Vertical:
Horizontal:
Show Work or Explain in Words:
d) Find the equations of both the vertical and horizontal asymptotes of the function: g(x)=x+7/x^2-4
Answer:
Vertical:
Horizontal:
Show Work or Explain in Words:Answer QuestionBe the first to answer this question.
Open Question: logarithmic functions? need help?
Vertical compression of 2/3
y = (2/3) * log[8](x)
Shift down 9 units
y = (2/3) * log[8](x) - 9
Open Question: How do I graph exponential and logarithmic functions?
so for 1.)
f(0) = 3^0 + 1
f(0) = 2 ? y intercept.
domain is all real numbers, x can be any negative number as well, eg 3^(-1) + 1 = 4/3
so on the graph for coordinate -1 the corresponding y value is 4/3.
etc, and as you input x as x ? -infinity you get the asymptote, which is 3^-99999 + 1,
and if you put x ? infinity you get the other asymptote
Open Question: Which of the following does not apply to NAD+’s functions?
1. NAD+ is reduced to NADH during both glycolysis and the Krebs cycle.
2. NAD+ can receive electrons for use in oxidative phosphorylation.
3. NAD+ is reduced by the action of dehy- drogenases.
4. NAD+ has more chemical energy than NADH.
5. In the absence of NAD+, glycolysis cannot function.
Open Question: what would the loss of an entire cerebral hemisphere on specific functions?
Open Question: How do I find the inverses of trigonometric functions?
for example:
sin(x)
D: pi/2 to -pi/2
R: 1 to -1
arcsin(x) [another way of saying sin^-1(x)]
D: 1 to -1
R: pi/2 to -pi/2
now say you want to find the arcsin(1/2)
looking at the unit circle, we know that the sine function is = to (1/2) at the angle pi/6 (radians)
so the arcsin(1/2) = pi/6 (radians)
so the arcsin(3/5) = 4/5
