Unit 1

Question 1

f(x) is increasing

Answer 1

Rate of change graph is positive

Question 2

f(x) is decreasing

Answer 2

Rate of change graph is negative

Question 3

f(x) is concave up

Answer 3

ROC graph is increasing

Question 4

f(x) is concave down

Answer 4

ROC graph is decreasing

Question 5

f(x) is linear

Answer 5

ROC graph is constant

Question 6

f(x) is constant

Answer 6

ROC graph is constant at y=0

Question 7

Brackets or Parentheses when dealing with concavity?

Answer 7

Parentheses

Question 8

Brackets or Parentheses when dealing with increasing/decreasing?

Answer 8

Brackets

Question 9

Brackets or Parentheses when dealing with both concavity and increasing/decreasing?

Answer 9

Parentheses

Question 10

T or F: Average rate of change = slope over multiple intervals

Answer 10

true

Question 11

Local max/min (vertex) on f(x)

Answer 11

Zero on ROC graph

Question 12

Point of inflection on f(x)

Answer 12

Local max/min (vertex) on ROC graph

Question 13

f(x) is decreasing at a decreasing rate

Answer 13

Rate of change is negative and decreasing

Question 14

f(x) is increasing and concave up

Answer 14

Rate of change is positive and increasing

Question 15

Will f(x)= 4x²+3x-2 have a global maximum, minimum, or neither?

Answer 15

Global minimum - degree is even and leading coefficient is positive

Question 16

Will f(x) = -8x²+9x-2 have a global maximum, minimum, or neither?

Answer 16

Global maximum - degree is even and leading coefficient is negative

Question 17

Will f(x) = -8x⁵+9x-2 have a global maximum, minimum, or neither?

Answer 17

Neither - the degree is odd

Question 18

What do you write if justifying why something is quadratic?

Answer 18

The second differences of the output are constant over consecutive equal length input intervals

Question 19

g(x) is an odd function. When x=-4, y=-11. What is y when x=4?

Answer 19

11

Question 20

h(x) is an odd function. When x=9, y=-17. What is y when x=-9?

Answer 20

17

Question 21

j(x) is an even function. When x=3, y=24. What is y when x=-3?

Answer 21

24