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  1. What can be said about the domain of the function  where  and ? Express it in terms of a union of intervals of real numbers. Go to www.desmos.com/calculator and obtain the graph of , , and .

Tadependent Assessment 2

Represent this rational equation through table and graph. Identify whether the graph

forms a straight line or a curve.


x² + 1

P(x) =

x + 1


Find the domain and range of the following rational function. Use any notation. 1. f(x) = 2

𝑥+1

2. f(x) = 3𝑥 𝑥+3

3. f(x) = 3−𝑥 𝑥−7

4. f(x) = 2+𝑥 𝑥

5. f(x) = (𝑥+1) 𝑥2−1


What is the value of x in the equation 3x-4y=65 when y=4


Pete has 15 blocks, If he shares them with 4 of his friends., how many blocks will each kid have?


A manufacturer makes shipments of building block sets that should ideally have 315 pieces. A quality control inspector randomly selects a sel. Any

set that varies from the ideal number of pieces by more than 8 blocks is sent back. What is the range of allowable number of blocks for a building

block set?


Now, It's Your Turn 1. Create your own or similar real-life situation where rational function is applied 2. In a bond paper, present the problem from Field of application up to Presentation as illustrated above. 3. You can use graphing paper, MS Excel, Desmos, or any graphing app to graph the function. ​


2c). Solve each of the following


I) x^2=72


II) (3n-1)^2=26


2b). Solve the linear inequality 6n-4<26