Find if the function is a constant, direct variation, absolute value, or greatest integer function. Then graph.
f(x) = 1.5
f(y) = –[y]
f(x) = 3[x – 2]
Find f(5.6).
(Here [] indicates the greatest integer function.)
Find f(3) when f(x) = [3x + 4].
Find f(–3.4) when f(x) = [3x + 4].
f(x) = 2x
f(x) = –2
f(x) = x + 4
f(x) = [x + 4]
f(x) = [x] + 4
Graph both the equations on the same plane and compare.
y = |x + 4|, y = |x – 4|
y = |x + 4|, y = |x + 4| – 2
y = [x + 4], y = [x] – 4
(Note: here, [ ] indicates the greatest integer function.)
y = –3|4x|, y = 4|–3x|
Determine the vertex of the graph: y = |x| + 3
Determine the vertex of the graph: y = |x – 3| + 2
Determine the vertex of the graph: y = |3x + 9| + 7
Determine the vertex of the graph: y = –3|7 – 3x| + 9
Compute the values of y for the given values of x for the equation y = |x + 3| and complete the table. What is the pattern of symmetry?
Compute the values of y for the given values of x for the equation y = 3|x – 2| + 2 and complete the table. What is the pattern of symmetry?
Graph the equation: y = |x – 3|
Graph the equation: y = |x| + 3
Graph the equation: y = |3 – x| + 2
Graph the equation: y = –2|4x + 2|
