Unit 1 Flashcards
NOTE: If the question says something like "xyz" on f(x), answer with what it is on the ROC graph
f(x) is increasing
Rate of change graph is positive
f(x) is decreasing
Rate of change graph is negative
f(x) is concave up
ROC graph is increasing
f(x) is concave down
ROC graph is decreasing
f(x) is linear
ROC graph is constant
f(x) is constant
ROC graph is constant at y=0
Brackets or Parentheses when dealing with concavity?
Parentheses
Brackets or Parentheses when dealing with increasing/decreasing?
Brackets
Brackets or Parentheses when dealing with both concavity and increasing/decreasing?
Parentheses
T or F: Average rate of change = slope over multiple intervals
true
Local max/min (vertex) on f(x)
Zero on ROC graph
Point of inflection on f(x)
Local max/min (vertex) on ROC graph
f(x) is decreasing at a decreasing rate
Rate of change is negative and decreasing
f(x) is increasing and concave up
Rate of change is positive and increasing
Will f(x)= 4x²+3x-2 have a global maximum, minimum, or neither?
Global minimum - degree is even and leading coefficient is positive
Will f(x) = -8x²+9x-2 have a global maximum, minimum, or neither?
Global maximum - degree is even and leading coefficient is negative
Will f(x) = -8x⁵+9x-2 have a global maximum, minimum, or neither?
Neither - the degree is odd
What do you write if justifying why something is quadratic?
The second differences of the output are constant over consecutive equal length input intervals
g(x) is an odd function. When x=-4, y=-11. What is y when x=4?
11
h(x) is an odd function. When x=9, y=-17. What is y when x=-9?
17
j(x) is an even function. When x=3, y=24. What is y when x=-3?
24
