Analysis & Interpretations
Functions
Contents: Click to skip to subtopic
2.1
2.3/2.4
2.6
2.7 - 2.10
2.1: Linear functions
Problems:
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Find the slope of a line passing through (-1,0) & (3,-8):
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Parallel, perpendicular, or neither: y=3x+4 & y=3x+7
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Parallel, perpendicular, or neither: y+x/3=2 & y=3x-5
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Find eq. of a line that's parallel to y=0.5x+5 and passes (4,-5)
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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: Domain, range, inverses
Problems:
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Find the range of f(x)=2ˣ + 1:
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Find the domain of g(x)=2x² - 3x + 2:
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If f(x)=0.2x - 6, find f⁻¹(x):
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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)
2.3/2.4: Graphs
2.5: Types of Functions
2.6: Modelling
