Part I **Part I:****Dali's Target**Consider the following contour map of a continuous function \( f(x, y) \):![Contour Map of Function](path/to/your/image.jpg)The contour map shows level curves for the values 10, 20, and 30 of the function \( f(x, y) \). The x-axis ranges from 0 to 10 and the y-axis ranges from 0 to 12.1. **For approximately what values of \( y \) is it true that \( 10 \leq f(5, y) \leq 30 \)?**2. **Estimate \( f(2, 4) \).**3. **Estimate \( f(5, 8) \).**4. **How many values satisfy \( f(7, y) = 20 \)?**5. **How many values of \( x \) satisfy \( f(x, 8) = 20 \)?**### Graph/Diagram DescriptionThe contour map (or level curve map) shows the graphical representation of the function \( f(x, y) \) over the x-y plane. The contour lines represent places where the function \( f(x, y) \) has constant values.- The contour line labeled 30 encloses the highest region of the graph.- The contour line labeled 20 surrounds the area covered by the 30 level curve, indicating a lower value than the central region.- The contour line labeled 10 encompasses both the 20 and 30 level curves, indicating that the function value is 10 along this outermost boundary.In this map:- Between each pair of consecutive contours, the function's value transitions smoothly.- The concentration and spacing of contour lines help in understanding the gradient and slope of the terrain represented by the function.**Analysis and Answers:**1. **For approximately what values of \( y \) is it true that \( 10 \leq f(5, y) \leq 30 \)?** Observing the contour map, for \( x = 5 \), the possible values of \( y \) that satisfy the given condition fall between 4 and 8.2. **Estimate \( f(2, 4) \).** At the point \( (2, 4) \), we are outside the contour line labeled 10, so we can estimate \( f(2

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Part I: Dali's Target Consider the following contour map of a continuous function f (x, y): y 12 10 8 6 4 2 2. Estimate f(2,4). 0 3. Estimate f(5,8). 1 2 3 4 use level curves, find domains and limits 5 6 4. How many values satisfy f(7,y)=20? OPLE PA 30 5. How many values of x satisfy f(x,8)=20? + 1. For approximately what values of y is it true that 10≤ f(5,y) ≤30? 7 20 10 8 9 10

Part I: Dali's Target Consider the following contour map of a continuous function f (x, y): y 12 10 8 6 4 2 2. Estimate f(2,4). 0 3. Estimate f(5,8). 1 2 3 4 use level curves, find domains and limits 5 6 4. How many values satisfy f(7,y)=20? OPLE PA 30 5. How many values of x satisfy f(x,8)=20? + 1. For approximately what values of y is it true that 10≤ f(5,y) ≤30? 7 20 10 8 9 10

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter1: Expressions And Functions

Section1.8: Interpreting Graphs Of Functions

Problem 1GP

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