Question

Heeelpppp..

Below you can see an equation for a piecewise function and Joanne's attempt at graphing that piecewise function. Choose the statement that best represents Joanne's work.


A. The piecewise function is graphed completely correctly.
B. The point (2, 4) should be an open circle.
C. The slope of the first equation is not graphed the right way.
D. The two equations should not have a gap between them.

Answer 1

The correct statement is: Option: C

C. The slope of the first equation is not graphed the right way.

Explanation:

The piecewise function is given by:

f(x)= 3x+1 if x<2

and 4 if 2≤x<5

• This means that the graph of a function in the interval (-∞,2) is a line with a positive slope i.e. 3 and hence is a increasing line.

Also, there is a open circle at (2,7)

( since the inequality is strict i.e. x<2)

• Also, there is a horizontal line i.e. y=4 in the interval [2,5)

i.e. there is a open circle at (5,4).

But the graph which is plotted for x<2

The slope of a line is: 1/3 and not 3

( Slope is defined as the ratio of change in y to the change in x)

Answer 2

The appropriate choice is ...
C. The slope of the first equation is not graphed the right way.

A correct graph is shown below.