4. Graph the following functions. (a) f(x)=5^x (b) f(x)=(2/3)^x (c) f(x)=-3^(-x)
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(a) Given 6^3=216, write an equivalent statement in logarithmic form. (b) Given log_2?√8=3/2, write an equivalent statement in exponential form
Find the present value of $3,000.00 if interest is 6% compounded quarterly for 5 years
Write log_8??x^2/(yz^2 )? as a sum, difference, or product of logarithms. Simplify the result if possible
Write log_2?(x-1)+log_2?(x+1)-log_2?(x^2-1) as a single logarithm with a coefficient of 1
Find the future value and interest earned if $480.00 is invested at 8% compounded (a) quarterly for 3 years. (b) continuously for 3 years.
Given f(x)=5x+8. (a) Determine whether f(x) is one-to-one. (b) Find a formula for its inverse. (c) Graph f(x) and f^(-1) (x) on the same axis
Use the definition of inverses to determine whether f(x)=(5x-3)/(2x+1) and g(x)=(x+3)/(5-2x) are inverses
Given f(x)=6x^4-7x^3-23x^2+14x+3, approximate each real zero as a decimal to the nearest tenth.
For a body falling freely from rest (neglecting air resistance), the distance the body falls varies directly as the square of the time. If an object is dropped from a tower 400 ft high and hits the...
The weight of an object varies inversely as the square of its distance from the center of the Earth. If an object at sea level (3978 mi from the center of the earth) weighs 220 lb, find its weight...
Use the boundedness theorem to show that f(x)=x^5-2x^3-x+2 has no real zero less than -3 and no real zero greater than 3
Explain how the graph of f(x)=(-2)/(x-3)^2 can be obtained from the graph of y=1/x^2 by means of translations, compressions, expansions, or reflections
1. x^2-2x-35/x^2+10x+25*x^2+4x-5/x^2-8x+7 2. 16-x^2/x^3+64*x^2/x^2-2x-8 divded by x^2+4/x^2-4x+16 3. 3x^2-6x-105/x^2-3x-28 divided by x+5/4x+16 4. 4/x-3-2/x+1 5...
1. 100a^3bc^2/40a4c 2. 2x^2-2x-40/x^2-25 3. xy-4y-3x+12/x^2-7x+12
Find the domain of the rational
develop your own real world equation using words for the variables. Then, translate your equation into polynomials and share both versions of the equation
Find all the complex zeros of f(x)=5x^4-4x^3+19x^2-16x-4. Give exact values
Use Descartes' rule of signs to determine the possible number of positive real zeros and the negative real zeros for f(x)=x^4-9x^2-6x+4