Question

Choose the point that lies on the graph of the piecewise function. f of x equals negative the quantity of x plus 5 end quantity squared if x is less than or equal to negative 3 and equals 2x minus 5 if x is greater than negative 3.

Answer 1

@neer2890

Answer 2

write your question in mathematical form first.

Answer 3

@neer2890

Answer 4

(-2, 9)
(-3, -11)
(-7, -4)
(-4, -13)

Answer 5

you have any options or i have to choose it myself..?

Answer 6

these r the points

Answer 7

so we know that f(x)=y
when the value of x is less than or equal to -3,we have to choose
\[y=-(x+5)^{2}\]
and when it is greater than -3 we have to choose 2x-5

Answer 8

ok

Answer 9

Additionally, we know that the point which we are going to find will lie on graph, so the point should satisfy the equation of graph.

Answer 10

ok

Answer 11

for e.g., (-2,9)
here, x=-2 and y=9
so when x=-2, we have
y=2x-5 should satisfy the equation.
just put x=-2
y=2(-2)-5=-4-5=-9 but we have 9 as y coordinate
so (-2,9) does not satisfy the equation.
similarly, chk for other options

Answer 12

ok thnx

Answer 13

you're welcome...:)
just check that you should get c as correct option when you solve this.

Answer 14

ok and i think i got b

Answer 15

no. you should get c.
how did you get b..?

Answer 16

2(-3)-5=-6-5=-11 and we have -11 as y coordinate

Answer 17

ok. so when x=-3 you donot have to choose y= 2x-5 because it's not defined for x=-3
for x=-3,
you can only use
\[y=-(x+5)^{2}\]

Answer 18

oh i got it

Answer 19

ok... all the best

Answer 20

thnx