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Midterm: Inverses, Absolute Values, and Functions Flashcards | StudBud
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Midterm: Inverses, Absolute Values, and Functions
Midterm: Inverses, Absolute Values, and Functions
11 terms
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StudBud Administration
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16 plays
Rebeca Lopez and Emma Halling (3rd Block Honors)
Flashcards
11 cards
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Questions
11
Answers
1
Who invented the idea of Inverses?
Karl Weierstrass
Leonhard Eular
John Frederick William Herschel
Jean-Robert Angard
2
Given that f(x)=x
2
+3 and g(x)=x
2
+9x-6, what's f(x)\div g(x)?
x4+9x3-3x2+27x-18
x2+9x-6/x2+3
32x^2+12x
x2+3/x2+9x-6
3
What are inverses used for?
To make sure you got the original function right
To graph
Reverse the original function
Math
4
What are some examples of real world uses for absolute values?
Taxes
Scuba divers when finding their sea level locations
Geophysicists calculating the amount of energy used + and - waves
Converting fahrenheit to celsius
5
Function compositions/operations alow for only a
few
computations in a row to occur
False
True
6
Inverses are reflected over the x-axis
True
False
7
Who invented the vertical bar notation? (for graphing)
Karl Weierstrass
Karl Angard
Jean-Robert Angard
Jean-Robert Weierstrass
8
Inverses are written as:
y-1\left(x\right)
y=x
f^{-1}(x)
f\left(x\right)
9
Why were function compositions/operations invented?
So mathematical operations can be reversed
To understand concepts of functions
To represent absolute values on a graph
To measure the distance between 2 points
10
Absolute Value equations/inequalities where invented to measure the distance between 2 points
True
False
11
Who formalized y into f(x)
John Frederick William Herschel
Leonhard Euler
Gottfried Wilhelm Leibniz
Karl Weierstrass
