Exponentials & Logarithms
Convert log2 32=5 into exponential form.
25 =32
Solve:
|x+2|=7
x = 5 and x = -9
If (-3, 2) is a point on a function, what would a coordinate be on the function's inverse?
(2, -3)
In a normal distribution, what percent falls greater than the mean?
50%
f(x) = 3log(x+4) - 7
vert stretch of 3
left 4
down 7
Convert 5x+2 =10 to logarithmic form.
log510=x+2
Solve:
|2x-1|=-4
No solution
Find the inverse of the following:
f(x) = x + 2
y = x - 2
68%
Identify the zeroes of the function.
f(x) = x(2x+3)2(x-5)
0, -3/2, 5
Solve the equation:
log2(x+4)=log2(3x-2)
x = 3
Solve:
|x - 3| < 7
x < 10 and x > -4
Find the inverse.
f(x) = 3x + 8
y = (x - 8)/3
In a normal distribution, the mean is 5 and the standard deviation is 0.5, what's the probability that it falls between 4 and 6?
95%
Given f(x) is a negative odd degree function and g(x) is a positive even degree function, what would be the end behavior of f(x) * g(x).
down to the left and down to the right
log5(x2y4)3
6log5x+12log5y
Solve:
2|4x - 5| + 6 = 10
x = 7/4 and x = 3/4
Find the inverse.
f(x) = x2 + 5
y = sqrt(x - 5)
In a normal distribution, the mean is 100 and standard deviation is 3.6. What is probability it falls between 96.4 and 107.2?
81.5%
What is sin(315)?
-sqrt(2)/2
Solve the equation:
5x-1 - 19 = 56
Round to 4 decimal places.
x = 3.6826
Solve:
4|x - 1| - 7 > 9
x >5 or x < -3
f(x) = cuberoot (x - 5)
y = x3 + 5
In a normal distribution, the mean is 50 and standard deviation is 3. In a sample of 120 individuals, how many would fall between 50 and 56?
57
Given point (3,4), what would be tan of the angle?
4/3