Answer:
- The function is injective but nor surjective
Step-by-step explanation:
<u>We see that:</u>
<u>For any x₁ and x₂ ∈ N, </u>
- f(x) = x₁³ = x₂³ ⇒ x₁ = x₂, both are natural numbers
It it confirmed one-to-one, hence it is injective
<u>Check the surjectivity:</u>
f(x) = y ∈ N
<u>Let y = 2, then:</u>
Since x is not natural, the function is not surjective
Answer:
Step-by-step explanation:
<u>Since all graphs pass throught the origin, they all have the form of:</u>
- y = ax², where a- coefficient
The coefficient of each graph's equation can be calculated based on the given pairs of points.
Each of them calculated for you and attached below.