WebTo draw the line 𝒚 = 𝒙, plot points with coordinates where 𝒙 and 𝒚 are equal. Although three points are sufficient, more points may be plotted. Using well-spaced points, such as the ... WebLearning Objectives. 4.5.1 Explain how the sign of the first derivative affects the shape of a function’s graph. 4.5.2 State the first derivative test for critical points. 4.5.3 Use concavity and inflection points to explain how the sign of the second derivative affects the shape of a function’s graph.

f(x) = x2 + 1 What is f(f(x))? - Brainly.com

WebTranscribed Image Text: Given the function below f(x) = -80x³ + 144 Find the equation of the tangent line to the graph of the function at x = 1. Answer in mx + b form. L(x) Use the tangent line to approximate f(1.1). WebCompute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history ... highlands county events calendar

4.5 Derivatives and the Shape of a Graph - Calculus Volume 1

http://dl.uncw.edu/digilib/Mathematics/Algebra/mat111hb/functions/graphs/graphs.html WebIf the output value of the function at x= 4 is 2 estimate the value of the function at 4.013; compare the parent function f(x)=x^2 to the quadractic function f(x)=-2x^2-6. the 6 in the function does which of the following? a.it makes the graph narrower than the parent function. b.it makes the graph wider than the parent function. c.it causes the WebWe can extend this idea to limits at infinity. For example, consider the function f(x) = 2 + 1 x. As can be seen graphically in Figure 4.40 and numerically in Table 4.2, as the values of x get larger, the values of f(x) approach 2. We say the limit as x approaches ∞ of f(x) is 2 and write lim x → ∞f(x) = 2. Similarly, for x < 0, as the ... highlands county events florida