𝑓(𝑥)=(𝑥+3)^2

Question

𝑓(𝑥)=(𝑥+3)^2

a.) Graph:

b.) Is it a function?

c.) Is it one-to-one?

d.) Domain

e.) Range:

Answer 1

a) The graph of f(x) is a parabola that opens upward, with the vertex being located at (-3,0). The end behaviors are both at a positive infinity.

b) Yes, f(x) is a function. Its DOMAIN is ALL REAL NUMBERS; and its RANGE is from ZERO to POSITIVE INFINITY.

C) NO, it is not a one-to-one function. Each x-value is mapped onto y and + y.

d) See item b) above.