Sunday

March 29, 2015

March 29, 2015

Posted by **Joe** on Sunday, October 2, 2011 at 4:37am.

f(x) = { (x^2, x<=2) (mx + b, x>2)

I am not sure what the graph would look like for the 2nd function.

Any tips on drawing functions like this would be of great help.

- calculus -
**Reiny**, Sunday, October 2, 2011 at 8:58amThere is no unique graph for y = mx + b without knowing the values of m and b .

The only thing I can surmise is that the straight line will continue on from (2,4), which is the end point of the parabola.

so the endpoint of y = x^2 , x ≤ 2 is (2,4)

dy/dx of the parabola is 2x

at (2,4), dx/dy = 4

so find y = mx + b, with m = 4 and point (2,4)

4 = 4(2) + b

b = -4

so graph y = x^2 up to x = 2, then from there

graph y = 4x - 4 , but only for x > 2

(You can use the y-intercept of -4 and the point (2,4) to get the straight line, but don't draw it for x < 2 )

**Answer this Question**

**Related Questions**

Graphs of polynomial functions - What do polynomial functions look like? And ...

Polynomial Functions-help - What do polynomial functions look like? And what can...

Polynomial Functions - What do polynomial functions look like? And what can be ...

Calc - This is a piecewise function on one graph: f(x)= 3, -4 <or= x <or= ...

Calculus - What would an example of a logarithmic function that contains two ...

calculus - help needed!!! how would you go about drawing the graph of a ...

Calculus - flickr.(dotcom)/photos/77304025@N07/6782789880/ Create a function ...

math - how would this equation look: y=f(x+3) when y=f(x)= x^2 would it look ...

trig/functions - what does y=2 sin (x-pi/ .5) -1 look like on a graph with the 3...

math - What would the graph look like for the linear function of y = 1/3x -4