Question

The function f(x)=x^2+2x+6 is graphed in the xy-coordinate plane shown .Based on the graph of the function ,which of the following statements are true select all that apply

Answer 1

Unfortunately your graph is wrong(Correct one is attached)

Correct ones are

• f is increasing while x<0
• f is increasing while 0<x<1
• f is increasing while 1<x<3

Note

if you make the function y=-x^2+2x+6 then the rest two are correct

Answer 2

f is increasing on the interval x < 0

f is increasing on the interval 0 < x < 1

Explanation:

From inspection of the graph, the curve is increasing when x < 1 and the curve is decreasing when x > 1

Therefore, the following are true statements:

• f is increasing on the interval x < 0
• f is increasing on the interval 0 < x < 1