Lesson 1.1 Quiz

For each function, identify what the dependent and independent variables represent.

b(c) is a function where b is the number of billboards on the street and c is the number of cars registered in the city.

• Dep: number of billboards

  Indep: number of cars

• Dep: number of cars

  Indep: number of billboards

• Dep. c

  Indep: b

For each function, identify what the dependent and independent variables represent.

t(g) is a function where 𝑔 is the number of girls in the scout troop and 𝑡 is the number of Thin Mints sold.

• Dep: g

  Indep: t

• Indep: number of Thin Mints sold

  Dep: number of girls in the scout troop

• Dep: number of Thin Mints sold

  Indep: number of girls in the scout troop

For each function, identify what the dependent and independent variables represent.

• Dep: Time between meals

  Indep: Hunger pains

• Dep: Hunger pains

  Indep: Time between meals

• Dep: H

  Indep: T

Let the function 𝑓 be increasing or decreasing, but not both. State whether the function is increasing or decreasing on the given interval and justify your answer.

• 𝑓 is increasing on the interval 3<x<7 because for all 𝑎 and 𝑏 in the interval, if 𝑎<b, then 𝑓(a)>𝑓((b).

• 𝑓 is increasing on the interval 3<x<7 because for all 𝑎 and 𝑏 in the interval, if 𝑎<b, then 𝑓(a)<𝑓((b).

• 𝑓 is decreasing on the interval 7<x<3 because for all 𝑎 and 𝑏 in the interval, if 𝑎<b, then 𝑓(a)<𝑓((b).

• 𝑓 is increasing on the interval 7<x<3 because for all 𝑎 and 𝑏 in the interval, if 𝑎>b, then 𝑓(a)<𝑓((b).

Use the graph of 𝒇 to answer the question below.

a. On what interval(s) is the graph concave up?

b. On what interval(s) is the graph concave down?

• a. 𝑥> j

  b. 𝑥 < j

• a. 𝑥 < i

  b. 𝑥 > i

• a. x > k

  b. 𝑥 < h

• a. x > g

  b. 𝑥 < j

Use the graph of 𝒇 to answer the question below.

a. On what interval(s) is the graph increasing?

b. On what interval(s) is the graph decreasing?

• a. 𝑥 < h and 𝑥 < k b. j < x < k

• a. 𝑥 < h and 𝑥 < k b. ℎ < x < a

• a. 𝑥 > h and 𝑥 > k b. ℎ < x < a

• a. 𝑥 < h and 𝑥 > k b. ℎ < x < k

Use the graph of 𝒇 to answer the question below.

a. Find the zeros of the function.

b. Find the 𝑦-intercept of the function.

• a. 𝑦 = a

  b. x = 𝑔, 𝑥 = 𝑗 and 𝑥 = 𝑙

• a. x = 𝑔, 𝑥 = 𝑗 and 𝑥 = 𝑙

  b. 𝑦 = a

• a. x = 𝑔, 𝑥 = 𝑗

  b. 𝑦 = a

• a. x = 𝑔, 𝑥 = 𝑙

  b. 𝑦 = a