STANDARD F.IF.C.7
AI

Graph functions and show key features of the graph by hand and by using technology where appropriate.
a. Graph linear, quadratic, and exponential functions and show key features.
b. Graph square root and piecewise-defined functions, including step functions and absolute value functions and show key features.
•  Algebra I key features include the following: intercepts, zeros; intervals where the function is increasing, decreasing, positive, or negative; maxima, minima; and symmetries.
•  Exponential functions are of the form f(x)=a(b)^x where a>0 and b>0 (b≠1).
•  Graphing linear functions is a fluency recommendation for Algebra I.  Students become fluent in solving characteristic problems involving the analytic geometry of lines, such as writing down the equation of a line given a point and a slope.  Such fluency can support them in solving less routine mathematical problems involving linearity; as well as modeling linear phenomena.

AII

Graph functions and show key features of the graph by hand and using technology when appropriate.
c. Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.
e. Graph cube root, exponential and logarithmic functions, showing intercepts and end behavior; and trigonometric functions, showing period, midline, and amplitude.  Trigonometric functions include sin(x), cos(x) and tan(x).

PRECALCULUS

d. Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available.

AI

AII

PRECALCULUS

AI

Practice-Graphing Absolute Value Functions

9

12

8

12

10

12

12

Practice-Graphing Root Functions

10

2

AII

5

11

8

4

6

10