Jasmine, a junior DESU student, has a tight budget for gifts this Christmas season. As an amateur jewelry maker, she decides to make her own gifts for some of her loved ones. She has some left-over thin silver plates and has three templates. Her templates are bounded by the functions given below. For different n values, she gets different designs and names the corresponding design Leaf-n. (Note that n is a natural number between 2 and 4, and x is in inches.) f(x) = - (1 2)1 and g() = =+*+-(1 2")1 f(x) g(x) Part 1(Pendants for Family) Jasmine makes one pendant of each Leaf design; one for herself, one for her younger sister, and one for her mother. She wants to give the largest pendant to her mother and the smallest one to her sister. Which design will she give to her mother and which one will she give to her sister? Part 2(Pendants for Sale) After making pendants for family members, Jasmine contemplates over turning this hobby of hers to a business. She considers refining her templates using larger n values. If she pays $20 per in- of silver plate, express the cost of Leaf-n as a function of n. How does cost change as n increases? Part 3(Pendant Redesign) Jasmine now considers shortening the length of pendants by cutting the templates from either side (See below.) She experiments with Leaf-2. Write the cost for each of the remodels of Leaf-2 below, as a function of length. If the length of the amount cut is the same, which one would cost less? f(x) g(x) f(x) 9(x) Jasmine, a junior DESU student, has a tight budget for gifts this Christmas season. As an amateur jewelry maker, she decides to make her own gifts for some of her loved ones. She has some left-over thin silver plates and has three templates. Her templates are bounded by the functions given below. For different n values, she gets different designs and names the corresponding design Leaf-n. (Note that n is a natural number between 2 and 4, and x is in inches.) f(x) = - (1 2)1 and g() = =+*+-(1 2")1 f(x) g(x) Part 1(Pendants for Family) Jasmine makes one pendant of each Leaf design; one for herself, one for her younger sister, and one for her mother. She wants to give the largest pendant to her mother and the smallest one to her sister. Which design will she give to her mother and which one will she give to her sister? Part 2(Pendants for Sale) After making pendants for family members, Jasmine contemplates over turning this hobby of hers to a business. She considers refining her templates using larger n values. If she pays $20 per in- of silver plate, express the cost of Leaf-n as a function of n. How does cost change as n increases? Part 3(Pendant Redesign) Jasmine now considers shortening the length of pendants by cutting the templates from either side (See below.) She experiments with Leaf-2. Write the cost for each of the remodels of Leaf-2 below, as a function of length. If the length of the amount cut is the same, which one would cost less? f(x) g(x) f(x) 9(x)
