Function and Algebraic Equations

SUBDOMAIN 212.1 - NUMERACY, ALGEBRA, & GEOMETRY Competency 212.1.2: Solving Algebraic Equations - The graduate solves algebraic equations and constructs equations to solve real-world problems. Introduction: An important element of learning is to connect mathematical concepts with physical concepts. Graphical representations of mathematical functions will allow you to visualize the meaning and power of mathematical equations. The power of computer programs and graphing calculators provide a more thorough connection between algebraic equations and visual representation, which will increase appreciation and understanding of mathematical language. In this task, you will be making connections between algebraic equations and graphical representations. Task: A. Complete the following graphs: 1. Graph the following values on a single number line. • Value 1: 1 • Value 2: 0 • Value 3: –6 • Value 4: 3/4 • Value 5: –1.7 2. Graph the following points on a single coordinate plane. Make sure to include labels for each quadrant of the coordinate plane. • Point 1: (3, –2) • Point 2: (0, 0) • Point 3: (–1, 7) • Point 4: (3, 5) • Point 5: (–4, –5) 3. Graph the following functions on separate coordinate planes. • Function 1: y= 2x − 1 • Function 2: y= (–3/4)x + 5 • Function 3: y= x2 − 4 • Function 4: y= –3x2 − 6x − 5 a. In each graph, label each axis of the coordinate plane. Additionally, label each intercept as “x-intercept” or “y-intercept” and include the ordered pair. • Whenever applicable, label the vertex as “vertex” and include the ordered pair. B. When you use sources, include all in-text citations and references in APA format. Note: Please submit all graphics and equations in *.pdf (Portable Document Format) files. Note: When bulleted points are present in the task prompt, the level of detail or support called for in the rubric refers to those bulleted points. Note: For definitions of terms commonly used in the rubric, see the Rubric Terms web link included in the Evaluation