Topic 2: Functions and equations

Question 1

What is the domain

Answer 1

the range of x

Question 2

What is the range

Answer 2

the range of y

Question 3

how to solve an inverse function

Answer 3

swap x and y

Question 4

f(x-a) (What is a?)

Answer 4

horizontal translation a units in the opposite direction of its sign

Question 5

f(x)+a What is a

Answer 5

vertical translation a units up or down

Question 6

af(x) What is a

Answer 6

vertical stretch by a factor of a

Question 7

f(ax) What is a

Answer 7

horizontal stretch for a factor of 1/a

Question 8

-f(x) What does the negative do

Answer 8

reflection in x-axis

Question 9

f(-x) What does the negative do

Answer 9

reflection in y-axis

Question 10

discriminant formula

Answer 10

b^2-4ac

Question 11

what does a positive discriminant indicate

Answer 11

2 distinct real roots (2 x-intercepts)

Question 12

what does the zero discriminant indicate

Answer 12

1 distinct real root - same thing as 2 equal roots (1x-intercept)

Question 13

what does a negative discriminant indicate

Answer 13

no distinct real roots (no x-intercept)

Question 14

what defines a rational function

Answer 14

a fraction with an x in the denominator

Question 15

how to find the VA of a rational function

Answer 15

set denominator equal to zero and solve for x

Question 16

how to find HA of a rational function

Answer 16

(coefficient of numerator/coefficient of denominator) + constant outside of bracket

Question 17

relationship between y=e^x and y=ln(x)

Answer 17

inverse of each other (reflected across y=x line)

Question 18

formula for the axis of symmetry of a quadratic

Answer 18

x = -b/2a

Question 19

derivative of lnx

Answer 19

1/x

Question 20

minimum value of an outlier

Answer 20

Q3+1.5(IQR)