The end behavior of the function x^3 + 6x^2 -3x + 1
What is down/up?
100
The inverse of a logarithm.
What is an exponential? or exponential function?
100
The asymptote of the function f(x) = 2x/(x-2)
What is x = 2?
100
A line in a graph of a rational function that can never be crossed
What is a vertical asymptote?
100
The domain and range of f(x) = sqrootx + 2
What is D: [0, infinity)
R: [2, infinity)
200
The zeros of the function f(x) = (3x)(x+2)(x-8)
What is x=0, x=-2, x=8?
200
The expression that is equivalent to log(base 5)8
What is log8/log5? (this uses the change of base formula)
200
True for false: In the graph of a rational function, the curve will NEVER cross the vertical asymptote.
What is TRUE?
200
A point where the graph crosses the x-axis
What is an x-intercept?
200
True or False: The domain of a function is the range of it's inverse
What is TRUE!
300
The value of the function x^3 + 100 for f(4)
What is 164?
300
The value of log(base 2)16.
What is 4?
300
The x-intercept(s) of the function f(x)= (x+4)/(x-2)
What is (-4, 0)?
300
Each y-value is paired with exactly one x-value
What is a one-to-one function?
300
Factor the function f(x)= x^3-6x^2 + 8x to find all the zeros. Tell what the zeros are.
What is x= 0, x=4, x=2?
400
The inverse function of f(x)=x^2 + 7
What is f^-1(x)= sqroot(x-7)?
400
Rewrite log(base 2)x + 3log(base 2)x as one logarithm.
What is log(base 2)x^4?
400
The y-intercepts of the function f(x)= (x+4)/(x-2)
What is (0, -2)?
400
When one value increases, the other decreases
What is inverse variation?
400
Given the function f(x)=x^4 - x^3 - 23x^2 - 3x +90 has zeros -3 and 2, use synthetic division and factoring to find the other zeros and state what they are.
What is x=5, -3, -3, 2?
500
The composite function f(g(x)) when f(x)= x+3 and g(x) = x^2 + x - 7
What is x^2 +x - 4?
500
Solve the equation log(8+x) - log(x + 1) = 2.
What is -92/99?
500
Haleigh has $8000 she plans to invest in an account earning 3% compounded monthly. The amount she will have after 7 years.
Use A = P(1+r/n)^nt
What is $9866.84?
500
All x-values in a function for which the y-values are real or defined
What is domain?
500
Verify algebraically that f(x) = x^2 +7 and its inverse sqrt(x-7) are inverses of eachother.
varied...work should show that f(f^-1(x)) and f^-1(f(x)) both = 1.