Functions Defined and Notation

Theme: Functions Defined and Notation...

Find the amplitude, period, and phase shift of the function defined by: y=3-2cos(3x+pi)

Given: the function defined by f(x)=3x^2-4 Which statement is true? 1. f(0) = 0 2. f(-2) = f(2) 3. f(5)+ f(2) = f(7) 4. f(5) x f(2) = f(10)

The number of people who own computers has increased by 23.2 percent annually since 1990. if half a million people owned a computer in 1990, predict how many people will own a coumpter in 2015

Solve the literal equation for the given variable. A= bh/2 (bh over 2) Solve for b. With solution .

Find the approximate solution of this system of equations. y = |x^2 − 3x + 1| y = x − 1

If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?

Adrian’s CD player can hold six disks at a time and shuffles all of the albums and their songs. If he has thirteen CD’s, how many different combinations of six CD’s can he put in the player? A. 8,648,640 B. 1,716 C. 5,040 D. 720

URGENT ALGEBRAI need this to day 1). What is the x intercept of -1/2x-5y=-10? A). 2 B). 20 C). 1/2 D). 5 2). Line p passes through the points (5,1) and has a slope of -4/5. What is the equation of the line p in standard form? A). 4x+5y=29 B). 4x+5y=25 C). 5x+4y=25 D). 5x+4y=29 3). Which inequality is equivalent to 5(2x-3)-6x ≤ 30? A). 16x-15<_30 B). 4x-15<_30 C). 4x-3<_30 D). 10x-21<_30 4). What is the domain of the function f(x)=x-3/2x-5? A). all real # except 3 B). all real # except -5/2 C). all real # except -3 D). all real # except 5/2 5). Which expression is the simplest form of 5/√2? A). 5√2/2 B). √7/2 C). √10/2 D). √2/5

Given the functions f(x) = 3x2, g(x) = x2 − 4x + 5, and h(x) = –2x2 + 4x + 1, rank them from least to greatest based on their axis of symmetry.

Jim says that the output of the floor function is the number before the decimal point in the input. For what domain is Jim’s statement correct? Justify your answer.

Find the interval of decreasing y=-x^2+4x+3

An ordered pair of the function d(t) = 35t is what

Find the range of the function f(x)=4x-1 for the domain {-1, 0, 1, 2, 3}

What is the inverse of f(x)= cube root of x +2.

Which points of the following points are solutions to the equation 3x-4y-8=12? Select all that apply. (0,5) (4,2) (8,2) (-16-17) (-1,8) (-40,34)

What is the definition of mental illness?

Find the inverse of each function 1) g (x)= 3+(x-1)^3 4) f (x)=x^3+2 5) f (n)= 5 square root of (-n+1/2)

Write the function in standard form with zeros -2,2,3

A water balloon is tossed into the air with an upward velocity of 25 ft/s. Its height h(t) in ft after t seconds is given by the function h(t) = − 16t2 + 25t + 3. Show your work. After how many seconds will the balloon hit the ground? (hint: Use the quadratic formula) What will the height be at t = 1 second

Let f(x)=4x-1 and g(x)=2x^2+3. Perform each function operations and then find the domain. 1. (f+g)(x) 2. (f-g)(x) 3. (g-f)(x) 4. (f times g)(x) 5. f/g(x) 6. g/f(x)

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