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Presentation transcript:

Solve and Graph: 2𝑥+4 ≤14 −3𝑥 >15 2𝑥+2 =20 5𝑥 =−25 Wildcat Drills Solve and Graph: 2𝑥+4 ≤14 −3𝑥 >15 2𝑥+2 =20 5𝑥 =−25

2.1Relations and Functions 2.2 Direct Variation Learning Target: I can graph relations. I can identify functions. I can write and interpret direct variation equations.

Get Ready: Solve each equation for y. 1. 12y = 3x 2. -10y = 5x

Example 1: Determine whether y varies directly with x.

1. 2.

Example 2: Determine whether y varies directly with x Example 2: Determine whether y varies directly with x. If so, find the constant of variation. Rule: If the equation is written as y=kx, then it does vary directly with x. Ex. 𝑦=3𝑥 If the equation is written as y=kx+c, then it does not vary directly with x. Ex. 𝑦=2𝑥+4

Problems: 𝑦=8𝑥 𝑦= 1 2 𝑥 𝑦=3𝑥+5 𝑦=4𝑥−1 *Remember these are yes or no answers.

Example 3: Find the missing value. 1. If y = 9 when x = -15, what is y when x = 21? 2. If y = 15 when x = 3, what is x when y = 60?

You do: Determine whether y varies directly with x. 𝑦=8𝑥 𝑦=−2𝑥+4 Find the missing value. 3. If y = -21 when x = 3, what is x when y = -14?

Assignment: 2.1 Page 65-66 # 10, 13, 14, 18, 20, 24, 26, 30 2.2 Page 71-72 # 8, 10, 14, 17, 25, 31, 36, 40, 44