Which graph represents the function?

f(x)=⎧⎩⎨⎪⎪(x+2)2ifx< −1∣∣x∣∣+1if−1≤x≤1−x√ifx> 1

See graph.

Step-by-step explanation:

Look for the pattern of the quadratic graph,

on the interval .

This is the graph of the parent function shifted 2 units to the left.

On the interval , look for the pattern of the absolute value function .

This is the graph of the parent function, shifted up 1 unit.

On the interval , look for the pattern of the square root function, .

This is a reflection of the graph of the parent function, reflected in the x-axis.

problem:

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

f(5/2) = 10/3

i hope this !

step-by-step explanation: