<u>Option A)</u> when y=6 and w= 2, <u>Option B)</u> when y=4 and w=-1 are the TWO correct choices.
Step-by-step explanation:
The given inequality is w<x<y and x>2.
<u>step 1</u>: let us <u>assume that x=3</u>, since it is given that x>2.
<u>step 2</u>: substitute the value of x=3 and each options in the inequality
<u>step 3</u>: option A) w=2, y=6. Then w<x<y = 2<3<6 (the condition satisfies).
option B) w= -1, y=4. Then w<x<y = -1<3<4 (the condition satisfies).
option C) w= 0, y=2. then w<x<y ≠ 0<2<2 (does not satisfies).
option D) w= -2, y=0. then w<x<y ≠ -2<2<0 (does not satisfies).
option E) w= -4, y= -1. then w<x<y ≠ -4<2<-1 (does not satisfies).
C (third graph, the parabola); To find if it is a function or not draw a vertical line on the graph. If the vertical line could never intercept the figure more than once anywhere on the graph then it is a function.
ANSWER
Vertical shift: 6 units up
Maximum value: 9
Minimum value: 3
EXPLANATION
The given since function is
Expand and rewrite to obtain,
Or
The vertical shift is 6 units up.
The maximum value is 6+3=9.
The minimum value is -3+6=3
To multiply a fraction with another fraction, we multiply the numerators the denominators:
(5/2) x (2/3) = (5 x 2) / (6 x 3) = 10/18 = 5/9