If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains ***.kastatic.org** and ***.kasandbox.org** are unblocked.

Main content

- Common Core MathK - 8High School

702 questions33 skills

159 questions7 skills

Write a function that describes a relationship between two quantities.

113 questions5 skills

Determine an explicit expression, a recursive process, or steps for calculation from a context.

16 questions1 skill

Combine standard function types using arithmetic operations.

100 questions4 skills

Compose functions.

130 questions7 skills

Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.

Explicit formulas for geometric sequences

Recursive formulas for geometric sequences

Explicit formulas for arithmetic sequences

Recursive formulas for arithmetic sequences

Sequences word problems

Converting recursive & explicit forms of arithmetic sequences

Converting recursive & explicit forms of geometric sequences

189 questions9 skills

Identify the effect on the graph of replacing *f*(*x*) by *f*(*x*) + *k*,* k* *f*(*x*), *f*(*kx*), and *f*(*x* + *k*) for specific values of *k* (both positive and negative); find the value of *k* given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.

89 questions5 skills

Find inverse functions.

12 questions1 skill

Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse.

20 questions1 skill

Verify by composition that one function is the inverse of another.

26 questions1 skill

Read values of an inverse function from a graph or a table, given that the function has an inverse.

31 questions2 skills

Produce an invertible function from a non-invertible function by restricting the domain.

85 questions3 skills

Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents.