Functions & Transformations
If f(x)=2x2−3x+1, find f(4).
What is 21?
Multiply: (x+4)(x−6)
What is x2−2x−24?
Solve: x2−9=0
What is x=±3?
Simplify: 50
What is 1?
Solve: x+y=8, x=3
What is (3,5)?
Given f(x)=x2 and g(x)=x−3, find (f∘g)(2).
What is 1?
Factor completely: x2−16
What is (x−4)(x+4)?
Find vertex of y=x2−6x+5
What is (3,-4)?
Simplify: x3·x5
What is x8?
Solve: x+y=5, x−y=1
What is (3,2)?
Determine the domain of f(x)=1/(x−5).
All real numbers except x ≠ 5?
Divide using long division: (x^3+2x^2−5x−6)/(x+3)
What is x2−x−2?
Factor: 2x2+7x+3
What is (2x+1)(x+3)?
Simplify: (2x3)2
What is 4x6?
How many solutions if two lines are parallel?
What is NO SOLUTION?
If f(x)=3x−7, find f⁻¹(x).
What is (x+7)/3?
Use the Remainder Theorem: remainder when f(x)=x3−4x2+3x−2 divided by (x−1)
What is -2?
Solve: x2−5x−14=0
What is x=7 or x=-2?
Simplify: log(xy)
What is log x + log y?
Solve by substitution: y=2x+1 and x+y=10
What is (3,7)?
Describe the transformation of y=-(x−4)2 +2 from y=x2.
Flipped across the x-axis, right 4 units, and up 2 units?
Factor completely: x3−3x2−4x+12
What is (x−3)(x−2)(x+2)?
What is the standard form of a quadratic?
What is ax² + bx + c?
Solve: log2(x)=5
What is x=32?
What does it mean if equations represent same line?
What is Infinitely many solutions?