Question 1 A) Using the table below, for what x-values is f(x) g(x)? x f(x) g(x) -2 7 -10 -1 4 -3 0 3 -2 1 4 -1 2 7 6 3 12 25 4 19 62 (1 point) Responses {−10,−3,−2,−1,6}{−10,−3,−2,−1,6}start set negative 10 comma negative 3 comma negative 2 comma negative 1 comma 6 end set {−2,−1,0,1,2}{−2,−1,0,1,2}start set negative 2 comma negative 1 comma 0 comma 1 comma 2 end set {12,19}{12,19}start set 12 comma 19 end set {7,4,3}{7,4,3}start set 7 comma 4 comma 3 end set Question 2 A) Using the table Compare f(x) and g(x). At how many points do the functions intersect? x f(x) g(x) -2 -7 -1 -1 0 0 0 1 1 1 2 2 2 9 3 (1 point) Responses 2 2 1 1 3 3 They do not intersect They do not intersect Question 3 A)Which of the following Characteristics is the same for ALL linear, Quadratic, and Exponential Functions?(1 point) Responses y-Intercept y-Intercept Maximum Maximum x-Intercept x-Intercept Domain Domain Range

Question

Question 1 A) Using the table below, for what x-values is f(x) > g(x)? x f(x) g(x) -2 7 -10 -1 4 -3 0 3 -2 1 4 -1 2 7 6 3 12 25 4 19 62 (1 point) Responses {−10,−3,−2,−1,6}{−10,−3,−2,−1,6}start set negative 10 comma negative 3 comma negative 2 comma negative 1 comma 6 end set {−2,−1,0,1,2}{−2,−1,0,1,2}start set negative 2 comma negative 1 comma 0 comma 1 comma 2 end set {12,19}{12,19}start set 12 comma 19 end set {7,4,3}{7,4,3}start set 7 comma 4 comma 3 end set Question 2 A) Using the table Compare f(x) and g(x). At how many points do the functions intersect? x f(x) g(x) -2 -7 -1 -1 0 0 0 1 1 1 2 2 2 9 3 (1 point) Responses 2 2 1 1 3 3 They do not intersect They do not intersect Question 3 A)Which of the following Characteristics is the same for ALL linear, Quadratic, and Exponential Functions?(1 point) Responses y-Intercept y-Intercept Maximum Maximum x-Intercept x-Intercept Domain Domain Range

GPT-4o mini · Answer

### Question 1 A To determine for which x-values $ f(x) > g(x) $, we can assess the values given in the table: | x | f(x) | g(x) | |----|------|------| | -2 | 7 | -10 | | -1 | 4 | -3 | | 0 | 3 | -2 | | 1 | 4 | -1 | | 2 | 7 | 6 | | 3 | 12 | 25 | | 4 | 19 | 62 | Now, let's compare $ f(x) $ and $ g(x) $: - For $ x = -2 $: $ 7 > -10 $ (True) - For $ x = -1 $: $ 4 > -3 $ (True) - For $ x = 0 $: $ 3 > -2 $ (True) - For $ x = 1 $: $ 4 > -1 $ (True) - For $ x = 2 $: $ 7 > 6 $ (True) - For $ x = 3 $: $ 12 < 25 $ (False) - For $ x = 4 $: $ 19 < 62 $ (False) The x-values for which $ f(x) > g(x) $ are $ -2, -1, 0, 1, 2 $. **Answer:** {−2,−1,0,1,2} ### Question 2 A To find the intersection points of $ f(x) $ and $ g(x) $: | x | f(x) | g(x) | |----|------|------| | -2 | -7 | -1 | | 0 | 0 | 0 | | 1 | 1 | 1 | | 2 | 2 | 2 | | 9 | 3 | 3 | Let's compare: - At $ x = -2 $: $ -7 < -1 $ - At $ x = 0 $: $ 0 = 0 $ (Intersection) - At $ x = 1 $: $ 1 = 1 $ (Intersection) - At $ x = 2 $: $ 2 = 2 $ (Intersection) The functions intersect at 3 points: $ x = 0, 1, 2 $. **Answer:** 3 ### Question 3 A The characteristic that is consistent across all linear, quadratic, and exponential functions is the **y-Intercept**. Each of these function types will have a y-intercept at the point where $ x = 0 $. **Answer:** y-Intercept