4.1 Symmetry of Functions
4.2 Average Rate of Change
4.6 Modeling Exponential Functions
4.7 Algebra of Functions
100
Is the following function even, odd, or neither?
even
100
What is the average rate of change formula?
(f(b)-f(a))/(b-a
100
Identify the percent rate of change of the following function.
f(t)=(0.15)t
f(t)=(1-0.85)t
r=0.85
R= 85% decrease
100
Evaluate g(2).
5
200
Is the following function even, odd, or neither?
odd
200
What is the average rate of change over the interval [0,5]?
10
200
Identify the percent rate of change of the following function.
f(t)=(1.15)t
f(t)=(1+0.15)t
r=0.15
R= 15% increase
200
Evaluate f(g(0)).
0
300
Is the following function even, odd, or neither?
f(x)=abs(x+2)
neither
300
What is the average rate of change over the interval [-2,0].
-2
300
Each year, the value of a car depreciates by 15%. Write an equation to calculate the salvage value of the car after t years after it was bought new for $1,000.
f(t)=1,000(0.85)t
300
Evaluate g(f(0)).
10
400
Is the following function even, odd, or neither?
f(x)=x^5+3x
odd
400
Find the average rate of change over [0.25,1].
16
400
Each year, the value of an antique appreciates at an average rate of 5%. Write an equation to calculate the salvage value of the antique after t years after it was bought new for $500.
f(t)=f(0)(1+r)t
f(t)=500(1.05)t
400
Evaluate f(g(2)) and g(f(0)).
f(g(2))=1
g(f(0))=0
500
Is the function even, odd, or neither?
f(x)=2abs(x)+x^4
even
500
Derive an equation to express distance traveled as time varies.
y=1/10x+2
500
Each year, the value of a car depreciates by 10%. Write an equation to calculate the salvage value of the car after t years after it was bought new for $12,000.
f(t)=f(0)(1-r)t
f(t)=12,000(0.9)t
500
Given f(x)=x2+1 and g(x)=2x-1, find g(f(x)).
g(f(x))=2x2+1