Type the letter of the graph next to the function that it represents.
A
B
C
(Note: f(x)= is a floor function.f of x is equal to the floor function. This is notated as x centered between two bars with hooks at the bottom. This means x takes the value of the first integer less than x.)
Answer:Correct! Go to question 2.Incorrect. The answers are:
1. B. This is a step function.
2. A. This is a piecewise function. Note that if
f(x)=2x+1f of x equals 2x plus 1,
f(-negative4)=2(-negative4)+1=-negative7f of negative four equals two times negative four plus one equals negative seven.
This means there should be an open dot at (-negative4, -negative7)f of x equals negative two x minus one. If
f(x)=-2x−1f of 2 equals negative two times two minus one equals negative five,
f(2)=-negative2(2)−1=-negative5. This means there should be an open dot at (2, -negative5).
3. C. This is a piecewise function. Note that if
f(x)=2x+1f of x equals 2x plus 1,
f(-negative0.5)=2(-negative0.5)+1=0f of negative five tenths equals two times negative five tenths plus one equals 0.
This means there should be a solid dot at (-negative0.5, 0). If
f(x)=-2x−1f of x equals negative two x minus one,
f(-negative0.5)=-negative2(-negative0.5)−1=0f of negative five tenths equals negative two times negative five tenths minus one equals 0. Again, there should be a solid dot at (-negative0.5, 0). This means the pieces of the function are connected at (-negative0.5, 0).
Go to question 2.
One or more of your answers are incorrect. Try again. Consider using your graphing calculator to graph the functions’ pieces.
