Mississippi Math A3.G.38
The Standard
Describe the attributes of graphs and the general equations of parent functions (linear, quadratic, cubic, absolute value, rational, exponential, logarithmic, square root, cube root, and greatest integer).
2025 Mississippi College- and Career-Readiness Standards for Mathematics · Prove and Apply Trigonometric Identities
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students match ten parent equations to their graphs and sketch each basic shape. They describe domain, range, intercepts, and features such as asymptotes, endpoints, and steps.
What Mastery Looks Like
- Given a parent graph, a student names the function, writes its equation, and identifies its domain, range, and key features. They can tell a curved parabola from an absolute value V, and a cubic graph from a cube root graph.
Common Misconceptions
- Students may include zero in the domain of y = 1/x or draw its branches touching an axis. They may draw the greatest integer graph as a slanted line instead of horizontal steps.
How to Assess It
- Show unlabeled graphs of y = 1/x, y = √x, and y = ⌊x⌋. Ask students to write each equation, its domain, and one feature that identifies it.
Lesson moves
Ways to Teach It
Give pairs ten printed graph cards and ten equation cards; have them make matches and label each graph's intercepts and domain.
Ask students why y = √x starts at the origin while y = ∛x extends left and right.
Play a three-clue match: give an intercept, domain, and shape; students hold up the matching equation card.
A parking garage counts completed hours; graph y = ⌊x⌋ for x hours parked and explain the jump at two hours.
Free download
Printable A3.G.38 Worksheet
A ready-to-print activity worksheet aligned to A3.G.38, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetKeep exploring
Related Standards
- F-IF.4
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs show...
- FA.F.21
Describe the following characteristics of linear and quadratic parent functions by inspection: domain/range, increasing/decreasing intervals, intercepts, symmet...
- A3.A.8
Determine characteristics of graphs of parent functions (domain/range, increasing/decreasing intervals, intercepts, symmetry, end behavior, and asymptotic behav...
Turn this exact standard into a lesson
Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.
Also for this standard:Make a WorksheetMake a QuizMake a Sub Lesson