Consider this absolute value function.𝑓⁡(𝑥)=|𝑥+3|If function f is written as a piecewise function, which piece will it include? A. 𝑥+3,𝑥≥-3 B. 𝑥+3,𝑥≥3 C. -𝑥+3,𝑥<-3 D. -𝑥−3,𝑥<3

Describe the range of the following absolute value function:𝑓(𝑥)=|𝑥+3|−5𝑓(𝑥)=|𝑥+3|−5The range is: 𝑦𝑦 Answer 1 Question 8 Answer 2 Question 8

A piecewise function 𝑓(𝑥) is defined as shown. 𝑓(𝑥)={   3𝑥+5,      0≤𝑥<3−2𝑥+1,     3≤𝑥<7     𝑥+8,     7≤𝑥≤10Evaluate 𝑓(3) and 𝑓(7).Enter your answers in the boxes.𝑓(3)=

A function of the form 𝑓(𝑥)=𝑎|𝑥|𝑓(𝑥)=𝑎|𝑥| contains the point (−1,3)(−1,3). What is the value of 𝑎𝑎 for this function. 𝑎=𝑎= Answer 1 Question 7

Which piecewise function is shown on the graph? A. 𝑓⁡(𝑥) = {5 ,𝑥 ≤ -2𝑥2 + 5 ,-2 < 𝑥 < 12(𝑥+2) − 2 ,𝑥 ≥ 1 B. 𝑓⁡(𝑥) = {-5 ,𝑥 ≤ -2𝑥2 + 5 ,-2 < 𝑥 < 12(𝑥+2) − 3 ,𝑥 ≥ 1 C. 𝑓⁡(𝑥) = {5 ,𝑥 ≤ -2𝑥2 − 5 ,-2 < 𝑥 < 12(𝑥−2) − 2 ,𝑥 ≥ 1 D. 𝑓⁡(𝑥) = {5 ,𝑥 ≤ -2𝑥2 − 5 ,-2 < 𝑥 < 12(𝑥−2) − 3 ,𝑥 ≥ 1

Given that 𝑓(𝑥)={𝑥3𝑖𝑓𝑥≥0𝑥𝑖𝑓𝑥<0f(x)={ x 3 x​ ifif​ x≥0x<0​ , which of the following functions is even?I. f(x)II. f(|x|)III. |f(x)|