Couldn't fit the whole question The following applet shows the graph of $ f(x) = 4^x $, where $ y = f(x) $. Use the applet to vary the value of $ x $ and pay attention to the output value.**Graph Description:**- The graph displays the exponential function $ y = 4^x $.- The vertical y-axis ranges from 0 to 40.- The horizontal x-axis ranges from 0 to 4.- A point on the graph indicates $ y \approx 16.00 $ when $ x \approx 2.00 $.- A purple 'X' on the horizontal axis can be dragged to vary the value of $ x $.- The graph assists in visually understanding the relationship between $ x $ and $ y $.**Instructions:**a. Use the applet above to approximate the value of $ x $ such that $ 4^x = 37 $. $ x \approx $ [Input Box] [Preview Button]b. Check your answer to part (a) by entering "4^#" into the answer entry box below and looking at the preview value. The result should be close to 37.[Preview Button] The image contains a graph and instructions related to finding values of $x$ for exponential equations.### Graph Explanation:- The graph shows an exponential curve representing $y = 4^x$.- A purple "X" is marked on the horizontal axis at $x \approx 2.00$.- There is a dashed vertical line from the "X" to the curve, intersecting at a point where $y \approx 16.00$.### Text Instructions:1. **Interactive Applet Instruction:** - "Drag the purple X on the horizontal axis to vary the value of $x$. The value of $x$ and the corresponding value of $y$ are shown on their respective axes."2. **Task A:** - "Use the applet above to approximate the value of $x$ such that $4^x = 37$." - An input box for $x \approx$ with a "Preview" button.3. **Task B:** - "Check your answer to part (a) by entering '4^#' into the answer entry box below and looking at the preview value. The result should be close to 37." - An entry box with a "Preview" button.4. **Task C:** - "We can estimate solutions to equations like $4^x = 2000$ by thinking about the two integer values that the answer must be between. For example, the solution to $4^x = 2000$ must be greater than [___] and less than [___] because $4^5 = 1024$ and $4^6 = 4096$."In task C, users are prompted to fill in the blanks with integer values indicating the range for the solution.

Using the given graph we can estimate the approximate values of y=4x

20 y=16.00 10 x2.00 2 Drag the purple X on the horizontal axis to vary value of x. The value of x and the corresponding value of y are shown on their respective axes. a. Use the applet above to approximate the value of x such that 4* 37. Preview b. Check your answer to part (a) by entering "4^#" into the answer entry box below and looking at the preview value. The result should be close to 37. Preview c. We can estimate solutions to equations like 4* = 2000 by thinking about the two integer values that the answer must be between. For example, the solution to 4" = 2000 must be greater than and less than because 45 1024 and 46 4096. 4.

20 y=16.00 10 x2.00 2 Drag the purple X on the horizontal axis to vary value of x. The value of x and the corresponding value of y are shown on their respective axes. a. Use the applet above to approximate the value of x such that 4* 37. Preview b. Check your answer to part (a) by entering "4^#" into the answer entry box below and looking at the preview value. The result should be close to 37. Preview c. We can estimate solutions to equations like 4* = 2000 by thinking about the two integer values that the answer must be between. For example, the solution to 4" = 2000 must be greater than and less than because 45 1024 and 46 4096. 4.

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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