Chapter One: Relations and Functions

Question 1

standard equation of a line

Answer 1

Ax + By = C

Question 2

slope-intercept form of a line

Answer 2

y = mx + b

Question 3

point-slope form of a line

Answer 3

y - y₁ = m(x - x₁)

Question 4

slope formula

Answer 4

m = (y_{2 -} y₁) / (x₂ - x₁)

Question 5

Answer 5

f(x) = x

Question 6

Answer 6

f(x) = x²

Question 7

Answer 7

f(x) = x³

Question 8

Answer 8

f(x) = √x

Question 9

Answer 9

f(x) = |x|

Question 10

Answer 10

f(x) = [x]

Question 11

standard/quadratic form of a parabola

Answer 11

f (x) = ax² + bx + c

Question 12

vertex form of a parabola

Answer 12

f(x) = a(x-h)² + k

Question 13

vertex (h, k)

Answer 13

h = -b/2a

k = f(h)

Question 14

even function

Answer 14

f(-x) = f(x) and f(x) = f(-x)

symmetric across the y axis

Question 15

odd function

Answer 15

f(-x) = -f(x)

symmetric about the origin

Question 16

Answer 16

the difference quotient

Question 17

discriminants

Answer 17

positive: 2 real roots
zero: 1 real root
negative: no real roots (two complex roots)

Question 18

the distance formula

Answer 18

Question 19

the midpoint formula

Answer 19

Question 20

profit function

Answer 20

P(x) = r(x) - c(x), where c(x) is the cost, and r(x) is the revenue

Question 21

equation of a circle

Answer 21

(x-h)² + (y-k)² = r²