Question

Which system of equations matches the graph below?
y = x if x less than or greater to –1
y = x^2 if x greater than or equal to –1

y = –x if x less than or greater to –1
y = x^2 if x > –1

y = x if x < –1
y = x^2 if x greater than or equal to –1

y = –x if x < –1
y = x^2 if x less than or greater to –1

Answer 1

@Callisto can you help?

Answer 2

For the straight line one, there is a hole and it ends at x=-1
So, it's x<-1

For curved one, there is a got and it starts at x=-1
So, x^2 is greater than or equal to -1.

Answer 3

Third option. First doesn't make sense. Second has negative slope on the left side part, not positive as in the graph. Last one has the same phrasing as the first; doesn't make sense.

Answer 4

thank you i understand it somewhat not.....now how could you tell what graph shows a continuous piecewise function?

Answer 5

If the left end value of the right side is the same as the right end value of the left side, the function will be continuous, if those left and right values occur at the same value of x.

Answer 6

would that be continuous?