Functional Notation
Types of Functions
Exp and Log Functions
Compositions and Inverses
Trigonometric Functions
100
If f(x) = x^2-1 and g(x) = x+5, what is f(g(1))?
What is 35?
100
The type of function this is: x^3 - 2x^2 + pi.
What is a polynomial?
100
The value of 8^(1/3).
What is 2.
100
This is the simplified form of h(s(y)) when s(y) = y^2+1 and h(y) = sqrt(y-1).
What is y?
100
This is the value of sin(pi/2) + cos(pi/2).
What is 1 ?
200
The domain of h(p) = sqrt(p-6).
What is p >= 6?
200
An alternate way to write the fourth root of x, using exponents.
What is x^(1/4)?
200
This point is shared by ALL functions of the form y = b^x.
What is (0,1)?
200
This is the domain of f(g(x)) when f(x) = x^2 + 1 and g(x) = sqrt(x-3).
What is x >= 3?
200
This is the number of the six basic trig functions which have NO asymptotes in their graphs?
What is 2 ?
300
It is true that if g(t) = t^2 - t, that g(t+2) = g(t) + g(2).
What is FALSE.
300
An alternate way to write (x-3)^(2/3), using roots and integer powers.
What is cube root of (x-3)^2. -OR- (cube root of x-3)^2.
300
This point is shared by ALL functions of the form y = log_b(x).
What is (1,0)?
300
This is the logical tag (T/F) of the fact that if f(x) = x^3+x, then its inverse is f^(-1)(x) = 1 / (x^3+x).
What is FALSE.
300
This is the number of the six basic trig functions that go through the point (0,0).
What is 2 ?
400
This is the axis of symmetry for a function that satisfies f(-x) = f(x).
What is the y-axis.
400
The logical description (T/F) of this expression: (x^2-4)^2 = x^4 -16.
What is FALSE?
400
The logical tag (T/F) of the fact that the 3*3*3*3 = 81 can be expressed by both 3^4 = 81 AND log_3(81) = 4.
What is TRUE?
400
This is the inverse function of g(x) = log_2(x).
What is 2^x ?
400
The value of cos^(-1)(-1).
What is pi ?
500
When f(x) is an odd function, this is the final value of f(-x) / f(x).
What is -1?
500
The alternate version of |x^2-2| written in piecewise form.
What is ?
500
This is the solution to the equation ln(2x-5) = 3.
What is x = (e^3+5)/2 ?
500
This is the inverse function of f(x) = (x-3)^2 / 2 for x >= 3.
What is f^(-1)(x) = sqrt(2x) + 3 ?
500
The most simplified version of tan( sin^(-1)(x) ).
What is x / sqrt(1-x^2) ?
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