Polynomial Functions
Find zeros of x4- x3- 6x2
x=0, x=3, x=-2
What is the domain of exponential functions
All real numbers
Rewrite 42=16 in a logarithmic equation
Log4 (16)=2
Value of sin (5π/6)
1/2
What is the equation to find period of tan function
π/[b]
Find product of these two binomials
(2x - 3)(x + 4)
2x3- 7x2 + 10
Given the exponential function (f(x) = 3(2)x, evaluate f(3)
f(3)= 24
Solve for x in the equation log2(x - 1) = 4
x=17
Find period of y = 4cos(5x - π)
2π/5
What is the rate of change of a increasing concave down function
the rate of change is decreasing
Simplify (4x3 - 2x2 + 7) - (2x3 + 5x2 - 3)
2x3 - 7x2 + 10
What are all the transformations of y= 2(x+1) - 4
horizontal shift to the left 1
Vertical shift down 4
Condense 2log3(x)+log3(5) into a single logarithm
Log3 (5x2)
Find is exact value of tan(135o)
-1
End behavior of f(x) = 2x4 - 3x2+ 5 when x is less than 0
As x approaches negative infinity f(x) approaches positive infinity
Completely factor 2x3+5x2−12
x(2x - 3)(x + 4)
An investment account compounds annually. The amount in the account is modeled by the function f(t)=1000 (1.08)t. How many years will it take for the investment to triple to $3000?
t = 14.27 years
Concavity of f(x) = ln(x) at x when greater than 0
The graph is concave down for ever value after 0
Solve for x in the interval [0, 2π) given in the equation
2sin(x) - 1 = 0
x=π/6
x=5π/6
What is the domain of cotangent
All real numbers except when sin/y = 0
Divide (2x3 + 3x2 - 4x + 8) by (x + 3)
2x2 - 3x + 5
An exponential function passes through points (1,6) and (3,54). Find values of a and b and the function in form f(x)=a(b)x
b=3
f(x)=2(3)x
Solve for x in ln(x) + ln(x+3)= ln(20-5x)
x=2
Prove that tan2(x) - sec2(x) + 1 = 0
sec2(x)- sec2(x) equals o
Are logarithms an inverse of exponential functions
Yes