Question

Which system of equations matches the graph below?

look for the answer choices below

Answer 1

graph?

Answer 2

@mathmate or aum :)

Answer 3

The graph shows a straight line with a negative slope when x <= 1.
And a parabola when x > 1. Therefore, ....

Answer 4

\( \le \) is read as "less than or equal to"
\( \ge \) is read as "greater than or equal to"

Answer 5

You may want to change the wordings in your answer choices a, b and d.

Answer 6

why?

Answer 7

What does "x less than or greater to 1" mean?

Answer 8

i'm not sure let me check

Answer 9

I will re edit the question :)

Answer 10

y = x2 if x < 1
y = -x if x less than or equal to 1
y = -x if x less than or equal to 1
y = x2 if x > 1
y = x2 if x > 1
y = x if x greater than or equal to -1
y = x if x less than or equal to 1
y = -x2 if x > 1

Answer 11

each two lines are one answer choice

Answer 12

You have two parts to the graph. A straight line on the left and part of a parabola on the right. The domain of the straight line is x≤1. Notice how it is ≤ and not \(<\). That is because at x = 1, the straight line has a closed circle indicating x = 1 is part of the straight line. But in the parabola, at x = 1 you see an open circle indicating that x = 1 is not part of the parabola.

Now the straight line has a negative slope and it is a 45 degree straight line, passing through the origin. Therefore, the equation of the straight line is: y = -1 for x≤1.

Answer 13

I meant y = -x for x≤1.

Answer 14

The parabola is \(y = x^2\) for \(x \gt 1\)

Answer 15

Yes, B.

Answer 16

oh ok thx! :)

Answer 17

yw.