3.1-3.dos
x^2+y^2 = 4
NOT a function
Find the average rate of change of: y = 2x^2 - 2x +1; [-1, -1/2]
-5
Find the inverse.
y = 4x - 8
1/4x + 2
Solve.
|6x + 4| = 8
x = -2, 2/3
Determine whether (0, 3/2) is a solution to the system.
7x − 8y = −12
−4x + 2y = 3
yes
Given f(x) = x^2 - 2x +8, find f(3)
11
Find the average rate of change y = 2x^2 + x + 2; [0,1/2]
2
Find the inverse
y = 2 + rad(x - 4)
(x - 2)^2 + 4
f(x) = |4x+1| - 7
x = -2, 3/2
Solve.
x − 7y = − 11
5x + 2y = − 18
(-4, 1)
Find the domain of g(w) = rad(9w+7)
[-7/9, infinity)
Given f(x) = x^2 - 3 and h(x) = rad(x+1), find f(h(4)).
2
Find the inverse.
y = x + 1/ (x^2 + 2x +1)
(1 - x)/x
|-6x + 12| = 0
x = 2
Solve for x and y.
6x − 5y = 8
−12x + 2y= 0
(-1/3, -2)
Graph.
f (x) =
2 , x < -4
- x - 2, - 4 < x < 2
x - 6, x > 2
Amanda/Ernesto will check
Find f(x) and g(x) such that h(x) = f(g(x)).
h(x) = 1/3(9x-7)^2
f(x) = 1/3x^2
g(x) = 9x - 7
(answers may vary)
f(x) = x^3 + 2x
odd
The population of a city increased from 23,400 to 27,800 between 2008 and 2012. Find the change of population per year if we assume the change was constant from 2008 to 2012.
From 2008 to 2012, the city's population increased by 1100 people per year.
Find the value of two numbers if their sum is 12 and their difference is 4.
(8, 4)
Find the domain of: g(t) = (8t - 24)/(t^2-7t-18)
(-infinity,-2)U (-2, 9) U (9, infinity)
Given f(x) = x^2 + 2x and g(x) = 2x+1, what is f(g(2)).
35
Given f(x) = |x|, sketch a graph of h(x) = f(x-2) + 3
Leader will check
Suppose that Hannah plans to pay off a no-interest loan from her parents. Her loan balance is $1000. She plans to pay $250 per month until her balance is $0. Create a linear model to represent her balance on the loan, B, after t months. Then, determine how long it will take her to pay off the loan.
t = 4
4 months
Ernesto's school is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75. The school took in $67 on the second day by selling 8 senior citizen tickets and 5 child tickets. What is the price each of one senior citizen ticket and one child ticket?
child tickets: $7
senior citizen tickets: $4