Precalc Semester 1 Quick Review

What is the DOMAIN?

• (-∞, +∞)
• (-∞, -1] U [3, +∞)
• [-1, +∞)
• (-1, 0] U (0, +∞)

What is the range?

• (-3, 3]
• [-3, 3)
• (-3, 3)
• [-2, 2]

State the Domain

• (-∞,-5)U(-5,∞)
• (-∞,7)U(7,∞)
• (-∞,0)U(0,∞)
• (-∞,-5)U(0,∞)

• Domain:   (-∞,0)U(0,∞)
• Domain:   (-∞,3) U (3,∞)
• Range:   (-∞,-1) U (-1,∞)
• None of these are true

On which interval(s) is the given function increasing?

• (-∞, 2) U (-2, ∞)

• (-2, 2) U (-2, ∞)

• (-∞, -2) U (0.5, ∞)

• (0, 2) U (0.5, ∞)

Which equation is an absolute value graph shifted right 5 units?

• y = |x - 5|
• y = |x + 5|
• y = |x| + 5
• y = -5|x|

• translates it left one unit and down 9 units

• translates it right one unit and down 9 units

• translates it up one unit and right 9 units

• translates it down one unit and left 9 units

• Shrinks the graph vertically by a factor of 1/3 and translates up 4 units.

• Stretches the graph by a factor of 3 and translates up 4 units.

• Translates the graph left 1/3 of a unit and up 4 units.

• Translates the graph right 3 unites and down 4 units.

• Shrinks the graph horizontally by a factor of 1/3 and translates up 4 units.

Determine the end behavior of the polynomial by identifying the degree and leading coefficient.

f(x) = 5x⁴ - x + 6

• UP-UP

• UP-DOWN

• DOWN-UP

• DOWN-DOWN

The degree and the sign of the leading coefficient (positive or negative) of a polynomial determines the behavior of the ends for the graph.  
Enter the polynomial function into a graphing calculator or online graphing tool to determine the end behavior.
f(x) = -x⁵ - 4x +2

• Left up  Right up
• Left up  Right down
• Left down  Right up
• Left down  Right down