 4.6.1: In Exercises 14, match the graph of f in the left column with that ...
 4.6.2: In Exercises 14, match the graph of f in the left column with that ...
 4.6.3: In Exercises 14, match the graph of f in the left column with that ...
 4.6.4: In Exercises 14, match the graph of f in the left column with that ...
 4.6.5: Graphical Reasoning The graph of is shown in the figure. (a) For wh...
 4.6.6: Graphical Reasoning Identify the real numbers and in the figure suc...
 4.6.7: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.8: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.9: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.10: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.11: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.12: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.13: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.14: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.15: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.16: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.17: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.18: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.19: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.20: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.21: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.22: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.23: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.24: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.25: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.26: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.27: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.28: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.29: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.30: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.31: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.32: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.33: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.34: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.35: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.36: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.37: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.38: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.39: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.40: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.41: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.42: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.43: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.44: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.45: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.46: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.47: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.48: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.49: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.50: In Exercises 750, analyze and sketch a graph of the function. Label...
 4.6.51: In Exercises 5158, sketch a graph of the function over the indicate...
 4.6.52: In Exercises 5158, sketch a graph of the function over the indicate...
 4.6.53: In Exercises 5158, sketch a graph of the function over the indicate...
 4.6.54: In Exercises 5158, sketch a graph of the function over the indicate...
 4.6.55: In Exercises 5158, sketch a graph of the function over the indicate...
 4.6.56: In Exercises 5158, sketch a graph of the function over the indicate...
 4.6.57: In Exercises 5158, sketch a graph of the function over the indicate...
 4.6.58: In Exercises 5158, sketch a graph of the function over the indicate...
 4.6.59: In Exercises 5964, use a computer algebra system to analyze and gra...
 4.6.60: In Exercises 5964, use a computer algebra system to analyze and gra...
 4.6.61: In Exercises 5964, use a computer algebra system to analyze and gra...
 4.6.62: In Exercises 5964, use a computer algebra system to analyze and gra...
 4.6.63: In Exercises 5964, use a computer algebra system to analyze and gra...
 4.6.64: In Exercises 5964, use a computer algebra system to analyze and gra...
 4.6.65: Think About It In Exercises 6568, create a function whose graph has...
 4.6.66: Think About It In Exercises 6568, create a function whose graph has...
 4.6.67: Think About It In Exercises 6568, create a function whose graph has...
 4.6.68: Think About It In Exercises 6568, create a function whose graph has...
 4.6.69: In Exercises 69 and 70, the graphs of and are shown on the same set...
 4.6.70: In Exercises 69 and 70, the graphs of and are shown on the same set...
 4.6.71: In Exercises 7174, use the graph of to sketch a graph of f and the ...
 4.6.72: In Exercises 7174, use the graph of to sketch a graph of f and the ...
 4.6.73: In Exercises 7174, use the graph of to sketch a graph of f and the ...
 4.6.74: In Exercises 7174, use the graph of to sketch a graph of f and the ...
 4.6.75: Suppose for all in the interval Explain why f3 > f5.f
 4.6.76: Suppose and for all in the interval Determine the greatest and leas...
 4.6.77: In Exercises 7780, use a graphing utility to graph the function. Us...
 4.6.78: In Exercises 7780, use a graphing utility to graph the function. Us...
 4.6.79: In Exercises 7780, use a graphing utility to graph the function. Us...
 4.6.80: In Exercises 7780, use a graphing utility to graph the function. Us...
 4.6.81: Writing In Exercises 81 and 82, use a graphing utility to graph the...
 4.6.82: Writing In Exercises 81 and 82, use a graphing utility to graph the...
 4.6.83: Writing In Exercises 8386, use a graphing utility to graph the func...
 4.6.84: Writing In Exercises 8386, use a graphing utility to graph the func...
 4.6.85: Writing In Exercises 8386, use a graphing utility to graph the func...
 4.6.86: Writing In Exercises 8386, use a graphing utility to graph the func...
 4.6.87: Graphical Reasoning Consider the function (a) Use a computer algebr...
 4.6.88: Graphical Reasoning Consider the function (a) Use a graphing utilit...
 4.6.89: Graphical Reasoning Consider the function (a) Determine the effect ...
 4.6.90: Consider the function (a) Determine the changes (if any) in the int...
 4.6.91: Investigation Consider the function for nonnegative integer values ...
 4.6.92: Investigation Let be an arbitrary point on the graph of such that a...
 4.6.93: Modeling Data The data in the table show the number of bacteria in ...
 4.6.94: Modeling Data A meteorologist measures the atmospheric pressure (in...
 4.6.95: Let be a function that is positive and differentiable on the entire...
 4.6.96: Conjecture Use a graphing utility to graph and in the same viewing ...
 4.6.97: Slant Asymptotes In Exercises 97 and 98, the graph of the function ...
 4.6.98: Slant Asymptotes In Exercises 97 and 98, the graph of the function ...
 4.6.99: Let be defined for Assuming appropriate properties of continuity an...
Solutions for Chapter 4.6: A Summary of Curve Sketching
Full solutions for Calculus: Early Transcendental Functions  4th Edition
ISBN: 9780618606245
Solutions for Chapter 4.6: A Summary of Curve Sketching
Get Full SolutionsThis expansive textbook survival guide covers the following chapters and their solutions. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9780618606245. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions , edition: 4. Chapter 4.6: A Summary of Curve Sketching includes 99 full stepbystep solutions. Since 99 problems in chapter 4.6: A Summary of Curve Sketching have been answered, more than 39492 students have viewed full stepbystep solutions from this chapter.

Acute triangle
A triangle in which all angles measure less than 90°

Base
See Exponential function, Logarithmic function, nth power of a.

Continuous at x = a
lim x:a x a ƒ(x) = ƒ(a)

Difference of two vectors
<u1, u2>  <v1, v2> = <u1  v1, u2  v2> or <u1, u2, u3>  <v1, v2, v3> = <u1  v1, u2  v2, u3  v3>

Division
a b = aa 1 b b, b Z 0

End behavior asymptote of a rational function
A polynomial that the function approaches as.

Gaussian curve
See Normal curve.

Linear factorization theorem
A polynomial ƒ(x) of degree n > 0 has the factorization ƒ(x) = a(x1  z1) 1x  i z 22 Á 1x  z n where the z1 are the zeros of ƒ

Normal curve
The graph of ƒ(x) = ex2/2

Opposite
See Additive inverse of a real number and Additive inverse of a complex number.

Paraboloid of revolution
A surface generated by rotating a parabola about its line of symmetry.

Plane in Cartesian space
The graph of Ax + By + Cz + D = 0, where A, B, and C are not all zero.

Quotient rule of logarithms
logb a R S b = logb R  logb S, R > 0, S > 0

Regression model
An equation found by regression and which can be used to predict unknown values.

Repeated zeros
Zeros of multiplicity ? 2 (see Multiplicity).

Speed
The magnitude of the velocity vector, given by distance/time.

Standard form of a polynomial function
ƒ(x) = an x n + an1x n1 + Á + a1x + a0

Statute mile
5280 feet.

Union of two sets A and B
The set of all elements that belong to A or B or both.

Ymin
The yvalue of the bottom of the viewing window.