Given: f(x) = 3x – 5 & g(x) = 2x2 + 4

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Presentation transcript:

Given: f(x) = 3x – 5 & g(x) = 2x2 + 4 Function Operations Given: f(x) = 3x – 5 & g(x) = 2x2 + 4 1) What is f(x) + g(x)? 2) What is f(x)*g(x)?

Function Transformations Describe the transformations: 3) f(x – k) 4) f(x)+k 5) – f(x)

Function Transformations Continued… Given: f(x) = 5x 6) If j(x) is a vertical translation of f(x) of 7 units down, what is j(x)?

Problem-Solving Sadie bought a bag of M&Ms with 40 candies. Each day, she eats 5 M&Ms. How many M&Ms will be left after 6 days? Versus Sadie bought a bag of M&Ms with 40 candies. Each day 1/5 of M&Ms disappear from the amount of the previous day. How many M&Ms will be left after 6 days?

Problem-Solving Versus Sadie throws an M&M with an initial velocity of 18m/s. The M&M was thrown from an initial height of 5 feet. After how many seconds will the M&M hit the ground?

Function Notation & Problem Solving Lucy is selling stuffed animals for $5. She buys these animals from a wholesaler for $2 each. She also spent $40 to rent her booth. Write a function R(a) to represent the revenue of this situation. Write a function E(a) to represent the expenses of this situation. Write a function P(a) to represent the profits of this situation.