Which statement describes how to determine if a relation gven in a table is a function?
If none of the output values are repeated, the relation is a function
If none of the input values are repeated, the relation is a function
If any of the input values are equal to the output values, the relation is a function
If all the output values are paired with the same input value, the relation is a function

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

step-by-step explanation: