Please help with #8. Calculus 1 **Educational Website Transcription:**---### Calculus Practice Problems**Problem 6:**Suppose that \( f \) is defined and continuous everywhere except at \( x = 0 \) and differentiable only at \( x = 2 \). List all the critical points of \( f \), and sketch a possible graph of \( f \).**Problem 7:**If a continuous, differentiable function \( f \) has zeroes at \( x = -4, x = 1, \) and \( x = 2 \), what can you say about \( f \) on \([-4, 2]\)?**Problem 8:**If a continuous, differentiable function \( f \) is equal to 2 at \( x = 3 \) and at \( x = 5 \), what can you say about \( f \) on \([3, 5]\)?**Problem 9:**If a continuous, differentiable function \( f \) has values \( f(-2) = 3 \) and \( f(4) = 1 \), what can you say about \( f \) on \([-2, 4]\)?**Problem 10:**Restate Theorem 3.3 so that its conclusion has to do with tangent lines.**Problem 11:**Restate Rolle's Theorem so that its conclusion has to do with tangent lines.---This section presents a series of calculus problems focusing on continuity, differentiability, and the application of calculus theorems such as Rolle's Theorem. Each problem encourages the application of fundamental calculus concepts to analyze function behavior over specified intervals.

Name: Please help with #8. Calculus 1 **Educational Website Transcription:**
Uploaded: 2024-03-20T06:46:14.000Z
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Description: Please help with #8. Calculus 1 **Educational Website Transcription:**---### Calculus Practice Problems**Problem 6:**Suppose that \( f \) is defined and continuous everywhere except at \( x = 0 \) and differentiable only at \( x = 2 \). List all the