Exam 1
(7.1 x 106)/(8.2 x 101)
8.659 x 104
Find the domain of g(w) = rad(9w+7)
[-7/9, infinity)
If x varies directly as y, and x = 27 when y = 6, find x when y = 2.
x = 9
Given f(x) = |x|, sketch a graph of h(x) = f(x-2) + 3
Leader will check
log (5x) = log (2x+9)
3
5/(4 - rad(2))
(20 + 5 rad(2))/14
Given f(x) = x^2 + 2x and g(x) = 2x+1, what is f(g(2)).
35
y = 3 * 2^x
Find the average rate of change y = 2x^2 + x + 2; [0,1/2]
2
-2log3/(log3-log5)
(x3 - x2 - 42x)/(2x2 - 20x + 42)
x(x + 6)/2(x - 3)
Find the inverse
y = 2 + rad(x - 4)
(x - 2)^2 + 4
Jasmine deposits $520 into a savings account that has a 3.5% interest rate compounded monthly. What will ne the balance of Jasmine's savings account after two years?
A = 557.65
Classify as a conditional equation, an identity, or a contradiction:
2x + 5(x - 8) = - 40 + 7x
0 = 0, identity
10 + ln(x+3) = 14
x = e4-3
What is the equation for the line, in slope-intercept form, that is perpendicular to 4x−3y=6 through point (4,6)?
y = (-3/4)x + 9
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.
(2x^2+4x+16)/x^2-5x+4
Find VA
holes
HA
domain
x intercepts
VA: x = 1
HA: y = -2
holes: x = 4
domain: (- infinity, 1) U (-1,1) U (1, infinity)
x intercepts: x = -2
6 rad(75mp2q3)
30pqrad(3mq)
log7(x - 2) + log7(x + 3) = log714
x = 5
Solve and write your answer in interval notation.
|2z - 7| > 1
(- infinity, 3) U (4, infinity)
Solve for x and y.
6x − 5y = 8
−12x + 2y= 0
(-1/3, -2)
Sketch a graph of the function
f(x) = (x-2)^2(x+3)(x - 1/2)^2
x intercepts
y intercepts
degree/# of turning points
end behavior
y int: (0,8)
x int: (4, 0) (-2, 0) (1/2, 0)
4 turning points
end behavior:
as x approaches infinity, f(x) approaches infinity
as x approaches negative infinity, f(x) approaches negative infinity
Solve by completing the square.
x2 + 8x + 7 = 0
x = -7 and -1
log4x + log4(x - 12) = 3
x = 16