Practice Test Flashcards
Find fog and gof of
f(x)=x+1/x-1
g(x)= 1/x-2
fog: x-1/x-2
gof: x-1/3/x
f(x)= -3^x+1 + 4
Find f^-1
= f-1(x)=ln(4-x)-1
Find exact value
log2(8)
=3
Find exact value
ln(e sq. of x)
= square root of x
Find exact value
2log2(0.4)
= 0.4
Solve 8^6x+3 =4
x = -17/18
Solve logx(64)=3
x=4
Solve log6(x+3)+log6(x+4)=1
x= -1
Explain why a degree 5 polynomial must have a range of negative infinity to infinity
The end behavior of all degree five polynomial look like an S or backwards S
Explain why a degree 10 polynomial cannot have exactly 7 real roots (including repeated roots)
Having 7 real roots implies 3 complex roots, which violates the conjugate pair theorem
What is the max turning points on the equation f(x)= (2x+1)(x-3)^2
Max is 2 because degree is 3
What is the end behavior of the equation f(x)= (2x+1)(x-3)^2
as x approaches infinity, f(x) approaches infinity. as x approaches - infinity, (x) approaches - infinity
Find roots, multiplicity, and local behavior
f(x)= (2x+1)(x-3)^2
roots: -1/2 and 3
Multiplicity: 1 and 2
Local behavior: =(pos)(2x-1) and = 5(x-3)^2
Evaluate table one
What is (fog)(2)?
f(g(3)) = 1
Evaluate table one
What is (gof)(2)?
g(f(5))=4
