Question

lorraine writes the equation shown.

(x^2 + y - 15 = 0)

she wants to describe the equation using the term relation and the term function.

the equation represents

• a relation and a function
• a relation but not a function
• a function but not a relation
• neither a relation nor a function

Explanation:

Solve for y in terms of x

$$ y = -x^2 + 15 $$

Determine if the equation is a relation

$$ \text{Any set of ordered pairs } (x, y) \text{ defined by an equation is a relation.} $$

Determine if the equation is a function

$$ \text{For every real number input } x, \text{ there is exactly one unique output } y = -x^2 + 15. $$

Answer:

• a relation and a function (Correct answer)
• a relation but not a function
• a function but not a relation
• neither a relation nor a function