Formulas Test 2023
GRADED A+ (ACTUAL TEST ) Questions and Answers (Solved)
• Average Rate of Change for adx
Answer d: (bf(b)-f(a))/(b-a)
• Domain of a Function
Answer: All x values
• Range of a Function
Answer: All y values
• Inverse of a Function
Answer: Switch x and y
• 5. Factor a^3+b^3
Answer: (a+b)(a²-ab+b²)
• 6. Factor a^3-b^3
Answer: (a-b)(a²+ab+b²)
• 7. Quadratic Formula
Answer: (On Formula Sheet)
• 8. Powers of i Answer: i^0= i^1= i^2= i^3= : i^0=1 i^1=I i^2=-1 i^3=-i • Remainder Theorem The remainder when p(x)is divided by (x-
- is equal to 1 / 2
Answer: The remainder when p(x)is divided by (x-a) is equal to
p(a)
• Factor Theorem: (x-a) is a factor of p(x) if and only if .
Answer: (x-a) is a factor of p(x) if and only if p(a)=0.
• Rule for reflection in x-axis f(x) ->
Answer: -f(x)
• Rule for reflection in y-axis f(x) ->
Answer: f(-x)
• Rule for vertical stretch/compression of f(x) -> stretch when:
compression when:
Answer: af(x): stretch when a > 1; compression when 0 < a < 1
• Rule for horizontal stretch/compression of f(x) -> stretch when:
compression when:
Answer: f(ax): compression when a > 1; stretch when 0 < a < 1
• Rule for shift left or right f(x) -> Answer: f(x+a): left; f(x-a): right
• Rule for shift up or down f(x) -> Answer: f(x)+a: up; f(x)-a: down
• Even Function - Symmetry and Rule Answer: Symmetry: over y-axis Rule: f(x) = f(-x)
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