Unit 1
This is the definition of absolute value.
What is distance from zero
When analyzing a graph, this symbol in the interval notation is represented with an closed circle.
What is a square bracket
Given the polynomial 2x5-7x3+x2-9x+18, this is the number of zeros (real and imaginary) it has.
What is 5
Given f(x) = 4x-2 and g(x) = x2+7, this is (f o g)(x)
What is 4x2+26
This is when there is no solution to absolute value equation or inequality.
What is when the absolute value is less than or equal to a negative number.
This is the factored form of x2-3x-18
What is (x+6)(x-3)
Given h(x) = -6x10+8x7-3x6-5, this is the leading term.
What is -6x10
Condensing this log(x-2) - log(x) results in this expression.
What is log[(x-2)/x]
This is the restriction on the radicand of an even-indexed radical.
What is, the radicand must be greater than or equal to zero.
This is the factored form of 9x2-49
What is (3x-7)(3x+7)
Given (4x2-x+9)/(x2+2x-6), this is the horizontal asymptote.
What is y=4
This is the domain of a logarithm parent function.
What is the argument must be greater than zero
In general, this is what is being solved for in a system of two linear equations in two variables.
What is the point of intersection
The relative maximum or relative minimum occurs under these conditions.
What is when the graph changes from increasing to decreasing or from decreasing to increasing.
If we are told that 4-3i is a zero of a particular polynomial, this is the other piece of information we know.
What is 4+3i is also a zero
This is the equivalent form of logb(y)=x
What is bx=y
If a rational expression contains a square root in the numerator and a linear binomial in the denominator, this is the domain of the rational expression (hint: consider describing the domain in terms of restrictions)
What is the intersection of the radicand being greater than or equal to zero and the denominator being not equal to zero.
This is the general form of the vertex of a quadratic equation.
What is (-b/2a, f(-b/2a)
Given that the polynomial f(x) = x3+x2+x+1 has -i as one of its zeros, these are the other zeros.
What are i and -1
This is the solution of the following equation:
2log3(x)=log3(2)+log3(3x-4)
What is x=4 and x=2