New York: (+)-F Math Standards

12 standards · 3 domains

FUNCTIONS - BUILDING FUNCTIONS

(+)-F.BF.1c Compose functions and state resulting domain.
(+)-F.BF.3c Determine algebraically whether or not a function is even or odd.
(+)-F.BF.4b Verify by composition that one function is the inverse of another.
(+)-F.BF.4c Given the graph or table of an invertible function, determine coordinates of its inverse.
(+)-F.BF.4d Determine an invertible function from a non-invertible function by restricting the domain.
(+)-F.BF.5b Use inverse relationships to solve problems involving logarithms and exponents.
(+)-F.BF.5c Apply the properties of logarithms to rewrite logarithmic expressions in equivalent forms and solve logarithmic equations.

(+)-F.IF.7d Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available.

(+)-F.TF.3 Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosines, and tangent for x, π + x, and 2π – x in terms of their values for x, where x is any real number.
(+)-F.TF.6 Understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed.
(+)-F.TF.7 Solve trigonometric equations: analytically with inverse functions and; graphically with technology and interpret solutions in terms of the context.
(+)-F.TF.9 Prove the sum and difference formulas for sine, cosine, and tangent and use them to solve problems.