Question

For what values of x is the graph of y =
`(2)/(5 - x)` concave upward?

x < 5
x > -5
x > 5
No values of x

Answer 1

Answer: y = 2 / (5 - x)

There is an asymptote at x = 5 and for x values less than 5, values of y are negative and approach negative infinity.

For values x > 5, y values come down the graph from positive infinity and they stay positive and tend to 0 as x approaches positive infinity.

So the graph is concave upward for x values greater than 5.

Explanation: