Name
Transforming functions
Description
Given the graphs of functions f and g where g is a transformation of f, determine the formula of g in terms of f.
Timed Test
Zeros of polynomials & their graphs
Description
Select the graph that best suits a polynomial equation by considering the zeros of the polynomial.
Timed Test
Linear vs. exponential growth: from data
Description
Given a table with values of two quantities over time, determine whether the quantities form grow linearly or exponentially.
Timed Test
Period of sinusoidal functions from equation
Description
Given the formula of a sinusoidal function, determine its period.
Timed Test
Verify inverse functions
Description
Given the formulas of two functions, compose the functions and determine whether they are inverses of each other.
Timed Test
Evaluate logarithms
Description
Evaluate basic logarithmic expressions by using the fact that a^x=b is equivalent to log_a(b)=x.
Timed Test
Positive & negative intervals of polynomials
Description
Given a polynomial, determine the intervals in which it is positive or negative.
Timed Test
Reciprocal trig ratios
Description
Understand the right triangle definition of sec, csc, and cot ratios.
Timed Test
End behavior of polynomials
Description
Analyze polynomial functions to determine how they behave as the input variable increases to positive infinity or decreases to negative infinity.
Timed Test
Graph sinusoidal functions: phase shift
Description
Given the formula of a sinusoidal function of the form a*f(bx+c)+d, draw its graph.
Timed Test
Graph sinusoidal functions
Description
Given the formula of a sinusoidal function of the form a*f(bx)+d, draw its graph.
Timed Test
Determine if a function is invertible
Description
Given the table of values of a function, determine whether it is invertible or not.
Timed Test
Evaluate logarithms (advanced)
Description
Evaluate advanced logarithmic expressions by using the fact that a^x=b is equivalent to log_a(b)=x.
Timed Test
Construct sinusoidal functions
Description
Given a few features of a sinusoidal function, find its formula.
Timed Test
Even & odd functions
Description
Given the graph of a function, determine if it's even, odd, or neither.
Timed Test
Use the properties of logarithms
Description
Use the properties of logarithms in order to rewrite a given expression in an equivalent, different form.
Timed Test
Modeling with sinusoidal functions: phase shift
Description
Given the description of a real-world relationship, find the sinusoidal function that models it. The functions in this exercise have a phase (horizontal) shift.
Timed Test
Restrict domains of functions to make them invertible
Description
Given the graph of a function, find ways to restrict its domain in order to make it invertible.
Timed Test
Simplify rational expressions: common monomial factors
Description
Factor the numerator and the denominator of a rational expression and cancel out common monomial factors.
Timed Test
Relationship between exponentials & logarithms
Description
Solve various problems that focus on the relationship between a^x=b and log_a(b)=x.
Timed Test