University:
High School
Course:
High School Algebra
Academic year:

2021
Views:

347

Pages:

3
Author:

Maliyah Hahn

Question 1: a) Determine if the relation is a function. Justify your response. b) State the domain and range. c) Determine if the relationship is discrete or continuous. Input, x 4 4 2 Output, y -4 1 -2 0 4 Answer 1: a) Not a function. Single input 4 has two outputs. b) D: {4, 2} R: {-4, -2, 0, 2, 4} c) Discrete since we only have whole # (no partial) Question 2: a) Function since no vertical line crosses more than one point at a time (each input has one output) b) D: {-3, -2, -1, 0, 1, 2, 3} R: {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6} c) Discrete since we have dots (no partial) Question 3: a) Function since no vertical line crosses more than one point at a time b) D: {x| -1 ≤ x ≤ 3} R: {y| -8 ≤ y ≤ 8} c) Continuous since the line connects whole and partial Question 4: The function t(j) = -8j + 24 represents the number of tomatoes, t, that your neighbor has left-over after making j jars of homemade salsa. a) Identify the independent and dependent variables. Independent: Jars of homemade salsa Dependent: Tomatoes b) Is this a linear function? Justify your response. Yes, it is a linear function. There is a constant rate of change. (8 tomatoes for every 1 jar) c) Is this relationship discrete or continuous? How do you know? Continuous. B/c we can make part of a jar of salsa. d) Make an input-output table of possible values for the function. j t 0 24 1 16 2 8 3 0 4 -8 5) Let g(x) = 4x + 7 a) Evaluate when x is -3. g(-3) = 4(-3) + 7 g(-3) = -12 + 7 g(-3) = -5 b) Find g(5) g(5) = 4(5) + 7 g(5) = 20 + 7 g(5) = 27 c) Find g(0) g(0) = 4(0) + 7 g(0) = 0 + 7 g(0) = 7 d) Find the value of x so that g(x) = 15 15 = 4x + 7 -7 -7 8 = 4x 8/4 = x 2 = x So g(2) = 15 6) Using the given graph, find the value of x so that f(x) = 7 Find where the graph has a "y" value of 7 and look for the "x" number f(3) = 7 7) Graph each of the following linear equations using one of the methods from this chapter. (intercepts, make a table, or slope and intercept). Show enough work that I can tell which method you use for each. 1 1. a) x = 4 Intercept Plug in zero for "y" 0 = 4 no "y" Table x y 4 0 4 1 4 -5 4 19 memorize x = 4 b) y = -3 Table x y 0 -3 1 -3 5 -3 memorize y = -3