Instruction: Determine the range and represent on a mapping diagram (3pts each) 1.) a.) Draw a mapping diagram for the map defined as follows:
Map Domain
x3x+1 { -3, -2,-1, 0, 1, 2, 3}

b.) State the type of mapping diagram obtained.

2.) With a domain {-3, -2, -1, 0, 1, 2, 3}, calculate the ranges corresponding to the relations and represent each relation on a Mapping diagram:
a.) x 2x
b.) x x2
c.) x x2- 1

3.) Find the range Y of each of the following relations for the given domain X and represent each relation on a Mapping diagram:
a.) xx+3 , X={0, 1, 2, 3}
b.) x ½ x , X={-2, -1, 0, 1, 2}
c.)x 2x , X= {-2, -1, 0, 1, 2}

Cone w has a radius of 8 cm and a height of 5 cm. square pyramid x has the same base area and height as cone w. paul and manuel disagree on how the volumes of cone w and square pyramid x are related. examine their arguments. which statement explains whose argument is correct and why? paul manuel the volume of square pyramid x is equal to the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is three times the volume of cone w. this can be proven by finding the base area and volume of cone w, along with the volume of square pyramid x. the base area of cone w is π(r2) = π(82) = 200.96 cm2. the volume of cone w is one third(area of base)(h) = one third(200.96)(5) = 334.93 cm3. the volume of square pyramid x is (area of base)(h) = (200.96)(5) = 1,004.8 cm3. paul's argument is correct; manuel used the incorrect formula to find the volume of square pyramid x. paul's argument is correct; manuel used the incorrect base area to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect formula to find the volume of square pyramid x. manuel's argument is correct; paul used the incorrect base area to find the volume of square pyramid x.

20 solve 2(4 x + 3) < 5 x + 21. a) { x | x < 9} b) { x | x > -5} c) { x | x > -9} d) { x | x < 5}

Complete each statement from the information given and the triangle criterion you used. if the triangles cannot be shown to be congruent, leave the box for the second triangle blank and choose for reason “cannot be determined.” carbon - regular hexagon. ∆can ≅ ∆ by