Graphing
What would be the transformation of 3^(x)+1
It translated one unit up
Evaluate the function given by f(x) = e^x when x=-2.
Round to four decimal places.
f(-2) = e^-2 = 0.1353
Use the definition of logarithmic function to evaluate each logarithmic at the indicated value of x. f(x) = log(subscript 2)x when x=32
f(32) = log(subscript 2)32 = 5
because 2^5=32
Use the changing base formula to solve log(subscript 4)25. Round to 4 decimals
log25/log4 2.3219
Solve. e^x=7 Round to four decimal places.
x=ln7
x = 1.9459
Evaluate h(x) = e^-x when x=3/4.
Round to three decimal places.
0.472
use the natural logarithms changing base formula to solve log(subscript 2) 12. Round to four decimals.
ln12/ln2 =3.5850
Solve e^x +5=60. Round to three decimals.
e^x=55
x=ln55
x=4.007
Use the graph of f to describe the transformation that yields the graph of the function. f(x)= (7/2)^x,
g(x)= -(7/2)^(x-6)
Reflect the graph of f in the x-axis and shift six units to the right.
Evaluate f(x) = 5000e^(0.06x) when x=6. Round to 3 decimal places
7166.647
Evaluate the function f(x) = logx when x=-2.
No solution, no real number power to which 10 can be raised to obtain -2.
Solve 2(3^(2t-5))-4=11
Round to three decimals.
t=3.417
True or False, the line y=-2 is an asymptote for the graph of f(x) = 10^(x)-2. Justify your answer by describing the transformation.
true because the graph will move down 2 units.
A total of 12000 is invested at an annual interest rate 9%. Find the balance after 5 years if it is compounded continuously. Use the formula A=Pe^(rt). Round to two decimals.
=12,000e^(0.09(5)) =18,819.75
Solve log(x^2 - 6) = log10.
x^2 -6 = 10
x^2 = 16
x= plus or minus 4
Condense the expression to the logarithm of a single quantity. 1/4log(subscript 3) 5x
log (subscript 3) 5x to the fourth root
Solve. 5+2lnx=4
5+2lnx=4
2lnx=-1
lnx=-1/2
x=e^-1/2
x=0.607
Find the Domain, x-intercept, and vertical asymptote of the logarithmic function. g(x) = ln(-x)
Domain: (-infinity, 0) x-intercept: (-1,0) Vertical asymptote: x=0
With the given formula for compounding per year: A=P(1+r/n)^(nt). A total of 12000 is invested at an annual interest rate 9%. Find the balance after 5 years if it is compounded quarterly. Round to two decimals.
A=P(1+r/n)^nt
A= 12000(1+ 0.09/4)^(4(5))
A = 18,726.11
Solve ln((x^2)-2) = ln23 for x.
x=-5,5
logx - 2logy + 3logz. Condense to a single quantity.
log(x/y^2) + logz^3 =
log ((x/y^2) * (z^3)) =
log((xz^3)/y^2)
You have deposited $500 in account that pays 6.75% interest, compounded continuously. how long will it take to double? Use the formula A=Pe^rt
t=10.27