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2.1

2.1: Linear functions

pg1 A&A HL - Topic 2 - Functions Notes.j

Problems:

  1. Find the slope of a line passing through (-1,0) & (3,-8):

  2. Parallel, perpendicular, or neither: y=3x+4 & y=3x+7

  3. Parallel, perpendicular, or neither: y+x/3=2 & y=3x-5

  4. Find eq. of a line that's parallel to y=0.5x+5 and passes (4,-5)

  5. Find eq. of a line that's perpendicular to y=2x-3 and passes (-5,3)

Answer
      -2      
Answer
Parallel
Answer
Perpendicular
Answer
y = 0.5x - 7
Answer
y = 0.5x + 5.5
2.2

2.2: Domain, range, inverses

pg2 A&A HL - Topic 2 - Functions Notes.j

Problems:

  1. Find the range of f(x)=2ˣ + 1:

  2. Find the domain of g(x)=2x² - 3x + 2:

  3. If f(x)=0.2x - 6, find f⁻¹(x):

  4. If g(x)=e²ˣ + 1, find g⁻¹(x):

Answer
    f(x)>1     
Answer
All real no's
Answer
f⁻¹(x) = 5x - 30 
Answer
g⁻¹(x)= 0.5ln(x-1)
2.3

2.3/2.4: Graphs

pg3 A&A HL - Topic 2 - Functions Notes.j
pg4 A&A HL - Topic 2 - Functions Notes.j
2.5

2.5: Types of Functions

pg5 A&I SL - Topic 2 - Functions Notes.j
pg6 A&I SL - Topic 2 - Functions Notes.j
pg7 A&I SL - Topic 2 - Functions Notes.j
2.6

2.6: Modelling

pg8 A&I SL - Topic 2 - Functions Notes.j
pg9 A&I SL - Topic 2 - Functions Notes.j
pg10 A&I SL - Topic 2 - Functions Notes.

Standard Level content

Additional Higher Level content

2.7 A&I

2.7: Composite & Inverse Functions (HL)

AHL2.7jpg.jpg
2.8 A&I

2.8: Graph Transformations (HL)

AHL2.8jpg.jpg
2.9 A&I

2.9: Further Modelling (HL)

AHL2.9a jpg.jpg
AHL2.9b jpg.jpg

2.10: Log Graphs (HL)

2.10 A&I
AHL2.10a jpg.jpg
AHL2.10b jpg.jpg
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