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Consider the function f(x) = 4x² Identify the locations where f has transition points. (Give your answer in the form of a comma-separated list, if needed. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if no such x-value exists.) √2 f has a local maximum at x = f has a local minimum at x = f has a point of inflection at x = 4.4 Identify the intervals of increase, decrease, and concavity. (Give your answers as intervals in the form (,). Use the symbol oo for infinity, u for combining intervals, and an appropriate type of parentheses "(".")", "[", or "J" depending on whether the interval is open or closed. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if no such interval exists.) f is increasing on: f is decreasing on: f is concave up on: fis concave down on: S - ++) ~ (+20) (√2+1) ✓0) (VF00) (-∞0.-+-) (₁.1)

Consider the function f(x) = 4x² Identify the locations where f has transition points. (Give your answer in the form of a comma-separated list, if needed. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if no such x-value exists.) √2 f has a local maximum at x = f has a local minimum at x = f has a point of inflection at x = 4.4 Identify the intervals of increase, decrease, and concavity. (Give your answers as intervals in the form (,). Use the symbol oo for infinity, u for combining intervals, and an appropriate type of parentheses "(".")", "[", or "J" depending on whether the interval is open or closed. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if no such interval exists.) f is increasing on: f is decreasing on: f is concave up on: fis concave down on: S - ++) ~ (+20) (√2+1) ✓0) (VF00) (-∞0.-+-) (₁.1)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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Consider the function f(x) = 4x² Identify the locations where / has transition points. (Give your answer in the form of a comma-separated list, if needed. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if no such x-value exists.) f has a local maximum at x = f has a local minimum at x = f has a point of inflection at x = √ √6 22 Identify the intervals of increase, decrease, and concavity. (Give your answers as intervals in the form (*, *). Use the symbol oo for infinity, u for combining intervals, and an appropriate type of parentheses "(".")", "[", or "J" depending on whether the interval is open or closed. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if no such interval exists.) f is increasing on: f is decreasing on: f is concave up on: ✓0) (VF00) fis concave down on: (-0₁-V-) (₁₁√/F) Identify any horizontal asymptotes. (Express numbers in exact form. Use symbolic notation and fractions where needed. Let y = f(x) and give your answer as an equation of a horizontal line.) horizontal asymptote(s): Verify your answers by graphing f using the graphing utility f(x) = -15 -10 - ++) ~ (+20) (√2+1) esmos
Transcribed Image Text:Consider the function f(x) = 4x² Identify the locations where / has transition points. (Give your answer in the form of a comma-separated list, if needed. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if no such x-value exists.) f has a local maximum at x = f has a local minimum at x = f has a point of inflection at x = √ √6 22 Identify the intervals of increase, decrease, and concavity. (Give your answers as intervals in the form (*, *). Use the symbol oo for infinity, u for combining intervals, and an appropriate type of parentheses "(".")", "[", or "J" depending on whether the interval is open or closed. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if no such interval exists.) f is increasing on: f is decreasing on: f is concave up on: ✓0) (VF00) fis concave down on: (-0₁-V-) (₁₁√/F) Identify any horizontal asymptotes. (Express numbers in exact form. Use symbolic notation and fractions where needed. Let y = f(x) and give your answer as an equation of a horizontal line.) horizontal asymptote(s): Verify your answers by graphing f using the graphing utility f(x) = -15 -10 - ++) ~ (+20) (√2+1) esmos
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