TEKS: Chapter 111. Mathematics See All Teacher Resources

111.33.b.4

(4) Algebra and geometry. The student connects algebraic and geometric representations of functions. The student is expected to:

• (A) identify and sketch graphs of parent functions, including linear (f (x) = x),
  quadratic (f (x) = x2), exponential
  (f (x) = ax), and logarithmic
  (f (x) = logax) functions, absolute value of x (f (x) = |x|), square root
  of x (f (x) = √x), and reciprocal
  of x (f (x) = 1/x);

• (B) extend parent functions with parameters such as a in f (x) = a/x and describe the effects of the parameter changes on the graph of parent functions; and

• (C) describe and analyze the relationship between a function and its inverse.