4) State the domain and range of each relation. Then state if the relation is a function.
a)
e)
f)
g)
b)
c)
d)

Question

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ To determine if the relation $ \{(-3,-4),(-1,2),(0,0),(-3,5),(2,4)\} $ is a function, we check if each x-value corresponds to exactly one y-value. ‖ ‖ step 2 ⋮ The x-values in the relation are $-3, -1, 0, 2$. Notably, the x-value $-3$ corresponds to two different y-values: $-4$ and $5$. ‖ ‖ step 3 ⋮ Since the x-value $-3$ has more than one corresponding y-value, the relation is not a function. ‖ ‖ step 4 ⋮ The domain of the relation is $ \{-3, -1, 0, 2\} $ and the range is $ \{-4, 0, 2, 4, 5\} $. ‖ ∻Answer∻ ⚹ The relation is not a function. Domain: $ \{-3, -1, 0, 2\} $, Range: $ \{-4, 0, 2, 4, 5\} $ ⚹ ∻Key Concept∻ ⚹ A relation is a function if each input (x-value) has exactly one output (y-value). ⚹ ∻Explanation∻ ⚹ In this case, the x-value $-3$ has two outputs, which means the relation fails the definition of a function. ⚹◊What is the definition of a function in terms of its domain and range?⍭ Generate me a similar question◊

Sia