Functions: Domain, Range, Composition, Inverses
Functions: Transformations
Exponents
Logarithms
Geometry
100
Inverse of: F(x)=x³+16
What is F⁻¹(x)=∛(x-16)
100
Describe F(x)=x² Translated up to 7 Translated left to 3
What is F(x)=(x+3)²+7
100
Simplify without negative exponents (d⁴+a⁷)/(a⁻²+d⁷)
What is a⁹/d³
100
How to read a logarithm
What is read as logarithm base b of m.
100
Segment ab measures 4x, segment bc measures 2x-7, and segment ac measures 12. Find x.
What is 19/6 or 3.166667
200
Domain of F(x)=x²+2
What is all real numbers
200
Describe the transformation of F(x)=1/(x-3)-7
What is f(x)=1/x (inverse function) translated right 3 and down 7
200
Simplify (3p⁶+d⁹)⁴
What is (81p²⁴+d³⁶)
200
evaluate 10^x=3^(-2)
What is x=-.954243
200
Define supplementary angles
What is 2 angles that sum to 180〫
300
Range of F(x)=√(12-x)
What is all numbers for F(x)≥0
300
Describe the transformation f(x)=-√(x-41)+2
What is the square-root function horizontally flipped, moved right 41 and up 2
300
8^(2x-1)=4^(x-3)
What is x=-(3/4)
300
evaluate for m log(2,m)=3
What is m=8
300
If we know ∠ACD is a straight angle and m∠ACB is 78〫and m∠BCD is x-13. Find x
What is 89〫
400
F(x)=x³-7 G(x)=1/(x+7)-14 Find G(F(x))
What is 1/(x³)-14
400
Write the equation of the cube-root function vertically flipped, moved left 2, and down 17
What is f(x)=(-x+2)³-17
400
4^(x)=64
What is 3
400
evaluate for b, log(b,18)=2
What is b=4.2426
400
Prove the vertical angle theorem
What is 1.<1 and <2 are linear pair ...... given 2.<2 and <3 are linear pair ......given 3.m<1 + m<2=180 ...... definition of supplementary angles 4.m<2 + m<3=180 ...... definition of supplementary angles 5.m<1 + m<2=m<2 + m<3......substitution prop 6. m<1 =m<2 ...... subtraction prop 7. <1 ≅<2...... Transitive property QED
500
Inverse of: f(x)=-√(3x-10)
What is f^-1(x)=⅓(x²+10)
500
Describe: f(x)=3(x-2)²+11
What is the quadratic function horizontally stretched by a factor of 3, moved right 2 and moved up 11.
500
6(4^x)=384
What is 3
500
If your salary starts at $1200 but increases by 10% each year, write an equation and solve for how long it will take for your salary to double.
What is 7.272541 years with the equation 1200(1.1)^n=Amount
500
Prove alternate interior angles are congruent
What is 1. a⫼b with transversal c.........Given 2.<1≅<3.................Corresponding angle postulate 3.<1≅<2.................Vertical angles are congruent 4.<2≅<3.................Transitive property QED
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