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Math study guide about functions, domain, range, and expressions with exponents
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f(x) MATH V Sanviti Amarnath P: 3 STUDY √x GUIDE 1. Growth of Patterns 2. Representations of Functions 3. Function Machines 4. Functions! 5. Domain & Range 6. Expressions with Exponents Sanviti Amarnath P: 3 IM1/ Growth of Patterns: How do patterns grow? Inverse variation: y=k K = constant of pr. Decreasing = -15 18 3. X Direct Variation: y & x = proportionall 21x1==1 80° fro dar x = ? 223 Domain:? Range:? A++ 4. fx=x²-1 f(x)=99 x = ? 5. 6x²(y-1) ² 24(y)xx²² (³) ¹ 6. x² + 3x-12 = (x-2)(x+3) x Exponential-Function:7 yab*+k a-initial value b=multiplier Increasing Direct variation. y & 2 = proportional SAnswer these questions! Answers on the back! A function can have repeating y Note: when each input valve has ONLY 1 output valve, then IT IS A FUNCTION Growth of Patterns: How do patterns grow? x Inverse variation: y=k X = 1. m=5 2. No solutions (Ø) 3. x=80° 4. x=10 5. x8 4y1² 6.2=3 7. D. R R: R x Exponential Function: 7 yo ab*+k a-initial value b- multiplier Increasing. Direct variation: y & 2 = proportional/ SAnswer these questions! Answers on the back! -My. A function can have retting y Note: when each input valve has ONLY 1 output valve, then IT IS A FUNCTION Functions & how to represent them How do you represent a function on a graph & table? Function machines: INPUT x=37₁ f(x)=3x² IMPORTANT NOTE: To find x-intercept, substitute y = 0 To find y-intercept, substitute x = 0 f(3) = 27 OUTPUT 2. THE Domain & Range ↑ the x inputs of a function Domain Input x Range Output input 1 3 10 56 113 210310x output 2 3 (5) 65 7 10 у yes! A function CAN have repeating y valves, not æ valves! NO! vertical Line test !! I the y inputs 1 2 1 Calculate the output for f(x) = 3x-1 when x=14. ↑ If f(x)...
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Alternative transcript:
= 24, what is x? 2 4 2 of a function 100 200 x=2₁2₁ f(x)=3*7* yes! vertical Line test! 12 24 3 f(x) = ? IS IT A FUNCTION? 1 3 D: R omain R: R ange D: 2,3,4 R: 2, 1,4 Functions & how to represent How do you represent a func Function machines: INPUT x=37 f(x)=3x² f(3) = 27 OUTPUT IMPORTANT NOTE: To find x-intercept, substitute y = 0 To find y-intercept, substitute x = 0 input output Domain Input Range Output ANE Domain & Range ↑ the x inputs of a function x у 1 3 10 56 (5) 6 113 210 310x 7 10 (5 y 2 3 yes! A function CAN have repeating y valves, not a valves! 'S It E(X) ff 1. (x) 41 2. x = 255 3 3. f(x) = 147 2 NO! Vertical Line test!! the y inputs of a function IS IT A FUNCTION? yes! vertical Line test! 2 100 12 4 200 24 Do hệ 3 ho 1 3 5 IR R: R omain ange D: 2,3,4 R: 2, 1,4 1. Domain: x values Range: y values 2. D= R R: y = 2 3. NO!! R=y⋅R D= x= -4 exponents Product Ruie: x² * x² = xa+b Quotient Rule: xa =x9-6 xb Power rule: (x²)b = хав Expanded Power ruie: (ab)² = a²b² Negative rule: a<0, x² = 1 x Zero Rule: aº = 1 → a= R Range Questions what is x & y INTERCEPT? X-intercept: point where line Crosses x-axis RULES OF Exponents: g-intercept: point where line crosses y-axis IMPORTANT!! Peminder: Parentheses Exponents M vimplication Division Addition Subtraction 2999999 5. Simplify: (x-2)(x+3) simplify! 2. (x³y²)3 3. 6x° (y-1) ² 24(y) = x²(y³)¹ 4. Fill in the blanks : 3 --61= ww exponent 000000 questions $ you're ALL Done! GOOD JOB!! 1. κ' acız 2. x¹³y² 5* x²+x-6 4. Base ro 3 Exponent شمام 3$ x³ Power 4y1² W w exponent 000000 questions ♡S you're ALL Done! GOOD JOB!! 1. What is domain & range in a function? 2. what is the domain & range for this function? -1 1 3. Is this a function? what is domain & range? -3-2 Domain & Range Questions exponents. Product Rule: x² * x² = x =x9-6 x° Quotient Rule: xª xb Zero Rule: a° = 1 → a= R Power rules (x²)b = хав Expanded Power ruie: (ab)² = a²b² Negative rule: a<0, xª= what is x & y INTERCEPT? Xa X-intercept: point where line crosses x-axis RULES OF Exponents:: 9-intercept: point where line crosses y-axis IMPORTANT!! Reminder: Parentheses Exponents M vitiplication Division A ddition Subtraction
Math study guide about functions, domain, range, and expressions with exponents
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This study guide shows you through the growth of patterns, what domain and range is, how to figure out if a relation is a function, and more! It has questions and answers as well, and lots of examples!
sunvtea
66 Followers
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Math study guide about functions, domain, range, and expressions with exponents
Comments (2)
This study guide shows you through the growth of patterns, what domain and range is, how to figure out if a relation is a function, and more! It has questions and answers as well, and lots of examples!
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f(x) MATH V Sanviti Amarnath P: 3 STUDY √x GUIDE 1. Growth of Patterns 2. Representations of Functions 3. Function Machines 4. Functions! 5. Domain & Range 6. Expressions with Exponents Sanviti Amarnath P: 3 IM1/ Growth of Patterns: How do patterns grow? Inverse variation: y=k K = constant of pr. Decreasing = -15 18 3. X Direct Variation: y & x = proportionall 21x1==1 80° fro dar x = ? 223 Domain:? Range:? A++ 4. fx=x²-1 f(x)=99 x = ? 5. 6x²(y-1) ² 24(y)xx²² (³) ¹ 6. x² + 3x-12 = (x-2)(x+3) x Exponential-Function:7 yab*+k a-initial value b=multiplier Increasing Direct variation. y & 2 = proportional SAnswer these questions! Answers on the back! A function can have repeating y Note: when each input valve has ONLY 1 output valve, then IT IS A FUNCTION Growth of Patterns: How do patterns grow? x Inverse variation: y=k X = 1. m=5 2. No solutions (Ø) 3. x=80° 4. x=10 5. x8 4y1² 6.2=3 7. D. R R: R x Exponential Function: 7 yo ab*+k a-initial value b- multiplier Increasing. Direct variation: y & 2 = proportional/ SAnswer these questions! Answers on the back! -My. A function can have retting y Note: when each input valve has ONLY 1 output valve, then IT IS A FUNCTION Functions & how to represent them How do you represent a function on a graph & table? Function machines: INPUT x=37₁ f(x)=3x² IMPORTANT NOTE: To find x-intercept, substitute y = 0 To find y-intercept, substitute x = 0 f(3) = 27 OUTPUT 2. THE Domain & Range ↑ the x inputs of a function Domain Input x Range Output input 1 3 10 56 113 210310x output 2 3 (5) 65 7 10 у yes! A function CAN have repeating y valves, not æ valves! NO! vertical Line test !! I the y inputs 1 2 1 Calculate the output for f(x) = 3x-1 when x=14. ↑ If f(x)...
f(x) MATH V Sanviti Amarnath P: 3 STUDY √x GUIDE 1. Growth of Patterns 2. Representations of Functions 3. Function Machines 4. Functions! 5. Domain & Range 6. Expressions with Exponents Sanviti Amarnath P: 3 IM1/ Growth of Patterns: How do patterns grow? Inverse variation: y=k K = constant of pr. Decreasing = -15 18 3. X Direct Variation: y & x = proportionall 21x1==1 80° fro dar x = ? 223 Domain:? Range:? A++ 4. fx=x²-1 f(x)=99 x = ? 5. 6x²(y-1) ² 24(y)xx²² (³) ¹ 6. x² + 3x-12 = (x-2)(x+3) x Exponential-Function:7 yab*+k a-initial value b=multiplier Increasing Direct variation. y & 2 = proportional SAnswer these questions! Answers on the back! A function can have repeating y Note: when each input valve has ONLY 1 output valve, then IT IS A FUNCTION Growth of Patterns: How do patterns grow? x Inverse variation: y=k X = 1. m=5 2. No solutions (Ø) 3. x=80° 4. x=10 5. x8 4y1² 6.2=3 7. D. R R: R x Exponential Function: 7 yo ab*+k a-initial value b- multiplier Increasing. Direct variation: y & 2 = proportional/ SAnswer these questions! Answers on the back! -My. A function can have retting y Note: when each input valve has ONLY 1 output valve, then IT IS A FUNCTION Functions & how to represent them How do you represent a function on a graph & table? Function machines: INPUT x=37₁ f(x)=3x² IMPORTANT NOTE: To find x-intercept, substitute y = 0 To find y-intercept, substitute x = 0 f(3) = 27 OUTPUT 2. THE Domain & Range ↑ the x inputs of a function Domain Input x Range Output input 1 3 10 56 113 210310x output 2 3 (5) 65 7 10 у yes! A function CAN have repeating y valves, not æ valves! NO! vertical Line test !! I the y inputs 1 2 1 Calculate the output for f(x) = 3x-1 when x=14. ↑ If f(x)...
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Alternative transcript:
= 24, what is x? 2 4 2 of a function 100 200 x=2₁2₁ f(x)=3*7* yes! vertical Line test! 12 24 3 f(x) = ? IS IT A FUNCTION? 1 3 D: R omain R: R ange D: 2,3,4 R: 2, 1,4 Functions & how to represent How do you represent a func Function machines: INPUT x=37 f(x)=3x² f(3) = 27 OUTPUT IMPORTANT NOTE: To find x-intercept, substitute y = 0 To find y-intercept, substitute x = 0 input output Domain Input Range Output ANE Domain & Range ↑ the x inputs of a function x у 1 3 10 56 (5) 6 113 210 310x 7 10 (5 y 2 3 yes! A function CAN have repeating y valves, not a valves! 'S It E(X) ff 1. (x) 41 2. x = 255 3 3. f(x) = 147 2 NO! Vertical Line test!! the y inputs of a function IS IT A FUNCTION? yes! vertical Line test! 2 100 12 4 200 24 Do hệ 3 ho 1 3 5 IR R: R omain ange D: 2,3,4 R: 2, 1,4 1. Domain: x values Range: y values 2. D= R R: y = 2 3. NO!! R=y⋅R D= x= -4 exponents Product Ruie: x² * x² = xa+b Quotient Rule: xa =x9-6 xb Power rule: (x²)b = хав Expanded Power ruie: (ab)² = a²b² Negative rule: a<0, x² = 1 x Zero Rule: aº = 1 → a= R Range Questions what is x & y INTERCEPT? X-intercept: point where line Crosses x-axis RULES OF Exponents: g-intercept: point where line crosses y-axis IMPORTANT!! Peminder: Parentheses Exponents M vimplication Division Addition Subtraction 2999999 5. Simplify: (x-2)(x+3) simplify! 2. (x³y²)3 3. 6x° (y-1) ² 24(y) = x²(y³)¹ 4. Fill in the blanks : 3 --61= ww exponent 000000 questions $ you're ALL Done! GOOD JOB!! 1. κ' acız 2. x¹³y² 5* x²+x-6 4. Base ro 3 Exponent شمام 3$ x³ Power 4y1² W w exponent 000000 questions ♡S you're ALL Done! GOOD JOB!! 1. What is domain & range in a function? 2. what is the domain & range for this function? -1 1 3. Is this a function? what is domain & range? -3-2 Domain & Range Questions exponents. Product Rule: x² * x² = x =x9-6 x° Quotient Rule: xª xb Zero Rule: a° = 1 → a= R Power rules (x²)b = хав Expanded Power ruie: (ab)² = a²b² Negative rule: a<0, xª= what is x & y INTERCEPT? Xa X-intercept: point where line crosses x-axis RULES OF Exponents:: 9-intercept: point where line crosses y-axis IMPORTANT!! Reminder: Parentheses Exponents M vitiplication Division A ddition Subtraction