- Study guides, Class notes & Summaries

i^2 = - correct answer -1 i^3= - correct answer -i i^4= - correct answer 1 i^5= - correct answer i Every fourth power of i (i^4 = , i^8 =, i^12 = ...) = - correct answer 1 To simplify a power of i, write the expression as i to a power of 4, multiplied by - correct answer i, i^2, or i^3 Pythagorean Theorem - correct answer a^2+b^2=c^2 Quadratic formula - correct answer x=-b+-√(b^2-4ac)/2a Only (x^2-1) separates into (x+1)(x-1), not...

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5 pages

Written in 2024/2025

Grade A+

Rechga

Even Function - correct answer f(-x)=f(x) Odd Function - correct answer f(-x) = -f(x) Average Rate of Change - correct answer f(b)-f(a)/b-a Difference Quotient - correct answer f(x+h)-f(x)/h Standard form of Quadratic Function - correct answer a(x-h)^2+k Vertex Formula - correct answer -b/2a, f(-b/2a) Horizontal Asymptotes - correct answer 1. if n<m then, y=0 2. if n=m then, y= co-eficients n/m 3. n>m then DNE Exponential Growth and...

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2 pages

Written in 2024/2025

Grade A+

Rechga

18r²s - 18rs² + 30rs - correct answer 6rs(3r - 3s + 5) 7rs - 4cr - 28cs + 16c² - correct answer (7s - 4c)(r - 4c) 3p² - 8p + 1 - correct answer Prime 8x² - 41x - 42 - correct answer (8x + 7)(x - 6) 15z² - 2z - 8 - correct answer (3z + 2)(5z - 4) 8r³+ 125 - correct answer (2r + 5)(4r² - 10r + 25) (5m³ + 5m - 5) - (2m³ - 8m - 1) - correct answer 3m³ + 13m - 4 y²+3y-70/y²-49 - correct answer y+10/y+7 (Provided y ≠ 7) -13...

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2 pages

Written in 2024/2025

Grade A+

Rechga

vertical asymptote - correct answer zeros of the denominator holes - correct answer factor that cancels out of the numerator and denominator making the function not defined at that point how to find horizontal or oblique asymptotes - correct answer compare the degrees of the numerator and denominator degree p(x) < degree q(x) - correct answer horizontal asymptote at f(x)=0 degree p(x) = degree q(x) - correct answer p(x)/q(x) is the horizontal asymptote ...

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2 pages

Written in 2024/2025

Grade A+

Rechga

Standard form - correct answer Ax+By=C General form - correct answer Ax+By+C=0 Slope Intercept form - correct answer y=mx+b Point Slope form - correct answer y-y₁=m(x-x₁) Finding Slope formula - correct answer y₂-y₁/x₂-x₁ Difference Quotient - correct answer f(x+h)-f(x)/h Average Rate of Change - correct answer f(x₂)-f(x₁)/x₂-x₁ Inverse function - correct answer (f o g)(x)=x and (g o f)(x)=x Even Functions formul...

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1 pages

Written in 2024/2025

Grade A+

Rechga

40x + 25 = 5(3x - 30) - correct answer Conditional; {-7} Solve the equation. - correct answer (5) Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set. 7(x - 8) + (-10x) = -3(x + 6) + 10 - correct answer Contradiction; ∅ A = P(1 + nr), for r - correct answer r=A-P/Pn Solve for y. 2x - 9(x + y) = y - x - correct answer y=-3/5x Simplify the power of i. i51 - correct answer -i 7[-2x -...

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1 pages

Written in 2024/2025

Grade A+

Rechga

The function f(x)=x^2 is decreasing on the interval _____. - correct answer (-∞,0) When functions are defined by more than one equation, they are called _______ functions. - correct answer piecewise-defined The cube function is odd and is increasing on the interval left parenthesis negative infinity comma infinity right parenthesis(−∞,∞). - correct answer True The cube root function is odd and is decreasing on the interval (minus−infinity∞,infinity∞)....

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3 pages

Written in 2024/2025

Grade A+

Rechga

what does an x-axis reflection look like - correct answer -f(x) y-axis reflection - correct answer f(-x) order for transformations - correct answer horizontal shifting stretching/shrinking reflecting vertical shifting what is even function? - correct answer f(-x)=f(x) even function symmetric to what? - correct answer y-axis odd function? - correct answer f(-x)=-f(x) odd function symmetric to? - correct answer origin graph of x^2 - correc...

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2 pages

Written in 2024/2025

Grade A+

Rechga

R.4 What is FOIL - correct answer First, Outer, Inner, Last R.5 For x^2 +Bx+C = (x+a)(x+b) - correct answer ab=C and a+b=B R.5 Difference of squares - correct answer x² - y² = (x + y)(x - y) R.5 How to factor? - correct answer 1. ab=C 2. a+b=Bx 3. (x+a)(x+b) 4. solve for a and b that will satisfy both equations R.5 How to factor by grouping? - correct answer 1. x^2 + Bx + C 2. x^2 + ax + bx + C 3. (x^2 + ax)+(bx+C) 4. factor and simplify R.5 What a...

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8 pages

Written in 2024/2025

Grade A+

Rechga

I^2 - correct answer -1 even function - correct answer f (x)=f (-x) Odd function - correct answer f (-x)= -f (x) Standard form of a line - correct answer Ax+by=c Vertical shifts Y=f (x)+c Y=f (x)-c - correct answer Goes up by c units Goes down by c units Horizontal shifts Y=f (x+c) Y=f (x-c) - correct answer To the left by c units To the left by c units Reflections Y=-f (x) Y=f (-x) - correct answer Reflects about x axis Reflects abou...

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3 pages

Written in 2024/2025

Grade A+

Rechga