9-5 Functions – We learned how to determine whether a given relation is a function either by a vertical line test or mapping the domain to the range. We learned to calculate functional values for a given function. Then we completed most of the assigned homework.
We reviewed Lesson 8.2 Product of Powers and 8.3 Quotient of Powers. We learned that when you divide powers with the same base you subtract them. Then we practiced simplifying expressions and then dividing these expressions. Next we learned that when there’s an x in an exponent you can subtract the exponents and set them equal to the exponent on the other side of the equation to solve for x. Then we completed all of the assigned homework.
9-5 Functions – We learned how to determine whether a given relation is a function either by a vertical line test or mapping the domain to the range. Then we learned to calculate functional values for a given function.
8-4 Modeling with Quadratic Functions – We used quadratic functions fitted to data to model real-world situations. Then we learned to use the vertical motion model to write an equation. Next we compared a model to a data set by analyzing and evaluating residuals.
Assignment: Complete the assigned problems for homework.
We reviewed the three types of solutions for systems of linear equations with two variables to prepare for a test tomorrow. When the lines are parallel they have no points in common so there is no solution to this system. When the lines intersect they have one point in common so there is one solution to the system. When the two linear equations give the same line because they are the same line, there are infinitely many solutions. Next we looked at several systems of linear equations and determined whether there was one solution, no solution, or infinitely many solutions.
Hudson solved several word problems by setting up and solving systems of equations by graphing, substitution, and elimination. He practiced using information in tables to help him determine the two variables for a system of equations. Then he practiced combining like terms with fractions and decimals as coefficients and constants.