Math 115 Lab M. Flashman
Graphs of Exponential, Logarithmic and Trignometric
Functions

Compare:

graph of 2^{x} with graph of 2 ^{x}

graph of exp(x)= e^{x }with graph of
exp(x)

graph of 2^{x}+3 with graph of 2^{x+3}=
8*2^{x}

graph of 3*2^{x} with graph of 2^{3x}=8^{x}

Compare:

graph of log_{2}(x) = lg(2,x) with
graph of 2^{x}

graph of ln(x)^{ }with graph of exp(x)

graph of ln(x+3) with graph of ln(x) + 3 and
ln(x) + ln(3)

graph of ln (3x) with graph of 3ln(x),
ln(3)* ln(x) and ln(3) + ln(x)

Compare:

graph of sin(x) with graph of sin(x)

graph of cos(x) with graph of cos(x)

graph of sin(x) with graph of sin(x+2pi)

graph of cos(x) with graph of cos(x+2pi)

Graphs of sine Discuss how
each constant A, B, and C effects the graph.[>1, >0, <0.]

1021 f(x)= Asin(x) Use animator; family

f(x)= sin(Bx) Use animator; family. See
graph
SinAX

f(x)= sin(x+C) Use animator; family

f(x)= Asin(Bx+C) Use animator; family. See
graph A
sin(BX+C)

Graphs of cosine Discuss
how each constant A, B, and C effects the graph.[>1, >0, <0.]

f(x)= Acos(x) Use animator; family

f(x)= cos(Bx) Use animator; family

f(x)= cos(x+C) Use animator; family

f(x)= Acos(Bx+C) Use animator; family.

Graphs of tangent Discuss
how each constant A, B, and C effects the graph.[>1, >0, <0.]

f(x)= Atan(x) Use animator; family

f(x)= tan(Bx) Use animator; family

f(x)= tan(x+C) Use animator; family

f(x)= Atan(Bx+C) Use animator; family

Solving equations

Find A and B if y=Acos(Bx) with y(0)=20, y(pi/2)=20.
Are these unique?

Find x if 3sin(x) + 2cos(3x) = 4 ; slider,
table, solver