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