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SECONDARY
CALCULUS AND ANALYSIS
CALCULUS 1
ANALYZING FUNCTIONS
Secondary
Calculus and Analysis
Precalculus
Calculus 1
Limits and continuity
Derivatives
Integrals
Polynomial graphs
Exponential models
Transformations of functions
Analyzing functions
Calculus 2
Algebra
Geometry
Statistics and Probability
Math Word Problem
Other
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Analyzing functions Answers
Analyzing functions
asked 2021-03-05
Polynomial function's f(x) coefficients are real numbers. Find the remaining zeros of f. Degree 6, zeros: i, 3 - 2i, -2 + i
Analyzing functions
asked 2021-02-11
Find an nth-degree polynomial function with real coefficients satisfying the given conditions. Verify the real zeros and the given function value. n = 3, 2 and 2 - 3i are zeros, f(1) = -10
Analyzing functions
asked 2021-02-09
Evaluate the indicated expressions and simplify.
\(\displaystyle{f{{\left({x}\right)}}}={x}^{{2}}+{1},{f{{\left({x}+{2}\right)}}},{f{{\left({x}\right)}}}+{f{{\left({2}\right)}}}.\)
Analyzing functions
asked 2021-02-08
Find the
\(\displaystyle{\left({f}+{g}\right)}{\left({x}\right)}{\quad\text{and}\quad}{\left({f}–{g}\right)}{\left({x}\right)}\)
, if
\(\displaystyle{f{{\left({x}\right)}}}={10}{x}–{8}{\quad\text{and}\quad}{g{{\left({x}\right)}}}={5}{x}+{7}\)
Analyzing functions
asked 2021-02-04
Find all values x = a where the function is discontinuous.
\(\displaystyle{f{{\left({x}\right)}}}={8}{x}^{{2}}+{8}{x}+{4}.\)
Analyzing functions
asked 2021-01-23
Find the region enclosed by the curves
\(\displaystyle{x}={3}{y}^{{2}}{\quad\text{and}\quad}{x}={y}^{{2}}+{7}\)
List the points of intersection of these curves from bottom to top in the form (x, y).
Analyzing functions
asked 2021-01-19
Find the difference quotient of f, that is, find
\(\displaystyle\frac{{{f{{\left({x}+{h}\right)}}}−{f{{\left({x}\right)}}}}}{{h}},{h}≠{0}\)
, for each function. Be sure to simplify.
\(\displaystyle{f{{\left({x}\right)}}}=\frac{{1}}{{{x}+{3}}}\)
Analyzing functions
asked 2021-01-15
Find the derivative of the function
\(\displaystyle{f{{\left({x}\right)}}}={\ln{{\left({e}^{{x}}+{12}\right)}}}\)
Analyzing functions
asked 2021-01-15
The function f(x) is linear. Write a formula for f(x) that satisfies the conditions: slope
\(\displaystyle=-\frac{{3}}{{4}}\)
, y-intercept
\(\displaystyle=\frac{{1}}{{3}}\)
Analyzing functions
asked 2021-01-15
What period do the sine, cosine, cosecant, and secant functions have?
What period do the tangent and cotangent functions have?
Analyzing functions
asked 2021-01-08
Is the statement true or false? "The domain and the range of the reciprocal function are the set of all real numbers."
Analyzing functions
asked 2021-01-04
Find the vertex, focus, and directrix for the parabolas:
a)
\(\displaystyle{\left({y}–{9}\right)}^{{2}}={8}{\left({x}-{2}\right)}\)
b)
\(\displaystyle{y}^{{2}}–{4}{y}={4}{x}–{2}^{{2}}\)
c)
\(\displaystyle{\left({x}–{6}\right)}^{{2}}={4}{\left({y}–{2}\right)}\)
Analyzing functions
asked 2021-01-02
Sketch the graph of the function
\(\displaystyle{f{{\left({x}\right)}}}=-{x}^{{3}}+{3}{x}^{{2}}–{7}\)
. List the coordinated of where extrema or points of inflection occur. State where the function is increasing or decreasing as well as where it is concave up or concave down.
Analyzing functions
asked 2021-01-02
Which one of the following function has an inverse?
\(\displaystyle{f{{\left({x}\right)}}}={x}^{{2}},{g{{\left({x}\right)}}}={x}^{{3}}\)
Analyzing functions
asked 2020-12-21
Write the function
\(\displaystyle{y}=-{\sin{{x}}}\)
as a phase shift of
\(\displaystyle{y}={\sin{{x}}}\)
.
Analyzing functions
asked 2020-12-13
Graph the equation and identify the y-intercept.
\(\displaystyle{y}={x}+{5}\)
Analyzing functions
asked 2020-11-27
Find the area between the curves
\(\displaystyle{y}={e}^{{-{{0.7}}}}{x}{\quad\text{and}\quad}{y}={2.1}{x}+{1}\)
from x = 0 to x =1.
Analyzing functions
asked 2020-11-20
Rewrite the logarithm as a ratio of
(a) common logarithms and
(b) natural logarithms.
\(\displaystyle{\log{{5}}}{x}\)
Analyzing functions
asked 2020-11-08
Suppose that
\(\displaystyle{f{{\left({x}\right)}}}={\ln{{\left({5}+{x}^{{2}}\right)}}}\)
Use interval notation to indicate where f(x) is concave up, concave down.
Analyzing functions
asked 2020-11-02
Find the area of the region below
\(\displaystyle{y}={x}^{{2}}–{3}{x}+{4}\)
and above
\(\displaystyle{y}={6}{f}{\quad\text{or}\quad}{3}≤{x}≤{6}\)
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