Matching Equations and Graphs
This worksheet focuses on matching various types of equations to their corresponding graphs, including linear, quadratic, exponential, and logarithmic functions, suitable for Grade 12 students.
Includes
Standards
Topics
Matching Equations and Graphs
Name:
Date:
Score:
Read each question carefully and follow the instructions to match equations with their corresponding graphs. Pay close attention to the characteristics of each function type.
Match each linear equation with its graph.
1. y = 2x - 3
a. Graph with positive slope, y-intercept at (0, 3)
2. y = -x + 3
b. Graph with positive slope, y-intercept at (0, -3)
3. y = (1/2)x + 1
c. Graph with negative slope, y-intercept at (0, 3)
1. Which equation represents the parabola shown below?
y = x² + 2x - 3
y = -x² + 2x + 3
y = (x - 3)² + 1
y = -(x - 3)² + 1
Complete the statements below by identifying the function type.
1. A graph that rapidly increases or decreases and has a horizontal asymptote is typically an function.
2. A graph that increases slowly and has a vertical asymptote is characteristic of a function.
1. Describe one key difference between the graph of y = 2^x and y = log₂(x).
Determine if the following statements about rational functions are true or false.
1. A rational function can have both horizontal and vertical asymptotes.
True
False
2. The graph of a rational function can never cross its horizontal asymptote.
True
False
1. Which type of function is best represented by a graph that passes through the origin and increases at a constant rate?
Quadratic
Exponential
Linear
Logarithmic
Related Worksheets
Perfect Square Trinomials
This worksheet focuses on identifying, factoring, and constructing perfect square trinomials, essential skills for Grade 12 Algebra.
Equations with Infinite and No Solutions
Explore linear equations that result in infinite solutions (identities) or no solutions (contradictions) at a Grade 12 level.
Grade 12 Algebra: Standard Form
A Grade 12 math worksheet focusing on converting between different forms of linear equations, identifying slopes and intercepts, and graphing linear equations in standard form.
Characteristics of Parabolas Worksheet
Explore and identify the key characteristics of parabolas, including vertex, focus, directrix, and axis of symmetry.
Solving Equations with Variables on Both Sides
This worksheet provides practice on solving linear equations where variables appear on both sides of the equals sign.
Evaluating Algebraic Expressions
This worksheet focuses on evaluating complex algebraic expressions involving various operations and functions, suitable for Grade 12 students.
Graphing Parabolas Worksheet
A Grade 12 math worksheet on graphing parabolas, covering standard form, vertex form, and intercepts.
Grade 12 Sigma Notation Worksheet
A comprehensive worksheet for Grade 12 students covering sigma notation, including evaluating sums, expanding series, and writing expressions in sigma notation.