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SECONDARY
ALGEBRA
ALGEBRA I
FUNCTIONS
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Get help with function math questions
Recent questions in Functions
2022-01-19
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. Write the polynomial in standard form. 7, 1+i
2022-01-19
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. Write the polynomial in standard form. 2i, 1-i
2022-01-19
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 1, and the given zeros. Write the polynomial in standard form. 2, 3+2i, sqrt 5
Sandra Allison
2021-12-30
Answered
How do you evaluate
\(\displaystyle{g{{\left(-{5}\right)}}}\ \text{ given }\ {g{{\left({x}\right)}}}={3}{x}?\)
David Young
2021-12-26
Answered
Q: Let
\(\displaystyle{\left\lbrace\begin{array}{cc} {x}^{{{m}}}{\sin{{\frac{{{1}}}{{{x}}}}}};&{x}\ne{0}\\{0};&{x}={0}\end{array}\right.}\)
Find the set of values of m for which
(i)
\(\displaystyle{f{{\left({x}\right)}}}\)
is continuous at
\(\displaystyle{x}={0}\)
(ii)
\(\displaystyle{f{{\left({x}\right)}}}\)
is differentiable at
\(\displaystyle{x}={0}\)
(iii)
\(\displaystyle{f{{\left({x}\right)}}}\)
is continuous but not differentiable at
\(\displaystyle{x}={0}\)
.
sunshine022uv
2021-12-26
Answered
Given the following statements:
I. The function
\(\displaystyle{f{{\left({x}\right)}}}={x}^{{{2}}}{{\sin}^{{{2}}}{x}}\)
is an odd function.
II. The function
\(\displaystyle{f{{\left({x}\right)}}}={e}^{{-{x}}}{\sin{{x}}}\)
is a neither function.
III. The function
\(\displaystyle{f{{\left({x}\right)}}}={\cos{{\left({5}{x}\right)}}}{{\sin}^{{{2}}}{x}}\)
is an even function
IV. The function
\(\displaystyle{f{{\left({x}\right)}}}={\left({x}-{5}\right)}{e}^{{{2}{x}}}\)
is an even function.
Stacie Worsley
2021-12-26
Answered
How do you find the inverse of
\(\displaystyle{y}={\left(-{\frac{{{1}}}{{{2}}}}\right)}{x}+{7}\)
?
jamessinatraaa
2021-12-24
Answered
Sketch the graph of the following function
\(\displaystyle{f{{\left({x}\right)}}}=-{5}{x}\)
Use the graphing tool to graph the function
Adela Brown
2021-12-22
Answered
Find a solution of
\(\displaystyle{x}{\frac{{{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}}={y}^{{2}}-{y}\)
that passes through the indicated points.
a.
\(\displaystyle{\left({0},{0}\right)}\)
b.
\(\displaystyle{\left(\frac{{1}}{{4}},\frac{{1}}{{4}}\right)}\)
c.
\(\displaystyle{\left({6},\frac{{1}}{{8}}\right)}\)
lunnatican4
2021-12-20
Answered
Solve for me, please:
\(\displaystyle{\frac{{{1}}}{{{2}}}}+{\frac{{{2}}}{{{x}}}}={\frac{{{1}}}{{{x}}}}\)
hionormf
2021-12-18
Answered
A variable star is one whose brightness alternately increases and decreases. For the most visible variable star, Delta Cephei, the time between periods of maximum brightness is 5.4 days, the average brightness (or magnitude) of the star is 4.0, and its brightness varies by
\(\displaystyle\pm{0.35}\)
magnitude. Find a function that models the brightness of Delta Cephei as a function of time.
hionormf
2021-12-18
Answered
True or False. The domain and the range of the reciprocal function are the set of all real numbers.
oliviayychengwh
2021-12-18
Answered
Find the linear approximation of the function
\(\displaystyle{f{{\left({x}\right)}}}=\sqrt{{{4}-{x}}}\)
at
\(\displaystyle{a}={0}\)
and use it to approximate the numbers
\(\displaystyle\sqrt{{{3.9}}}\)
and
\(\displaystyle\sqrt{{{3.99}}}\)
, please.
compagnia04
2021-12-18
Answered
Given the velocity v(t) of an object moving along a ccordinate line at time t, find the object's displacement
\(\displaystyle{s}{\left({t}\right)}\)
moving along the coordinate line. The objects initial displacement is zero
\(\displaystyle{v}{\left({t}\right)}={2}{t}^{{{h}}}{\left({t}^{{k}}-{2}\right)}^{{4}}\)
Jason Yuhas
2021-12-17
Answered
Assume f and g are differentiable on their domains with
\(\displaystyle{h}{\left({x}\right)}={\left({f}{o}{g}\right)}{\left({r}\right)}\)
. Suppose the equation of the line tangent to the graph of g at the point
\(\displaystyle{\left({4},{7}\right)}\)
is
\(\displaystyle{y}={3}{x}–{5}\)
and the equation of the line tangent to the graph of f at
\(\displaystyle{\left({7},{9}\right)}\)
is
\(\displaystyle{y}=-{2}{x}+{23}\)
.
(a) Calculate
\(\displaystyle{h}{\left({4}\right)}\)
and
\(\displaystyle{h}'{\left({4}\right)}\)
.
(b) Determine an equation of the line tangent to the graph of h at the point on the graph where
\(\displaystyle{x}={4}\)
.
Julia White
2021-12-16
Answered
Simplify
\(\displaystyle{\left(-{3}{x}\right)}^{{{2}}}\)
Annette Sabin
2021-12-16
Answered
Find the least integer n such that
\(\displaystyle{f{{\left({x}\right)}}}\)
is
\(\displaystyle{O}{\left({x}^{{n}}\right)}\)
for each of these functions.
a)
\(\displaystyle{f{{\left({x}\right)}}}={2}{x}^{{2}}+{x}^{{3}}{\log{{x}}}\)
b)
\(\displaystyle{f{{\left({x}\right)}}}={3}{x}^{{5}}+{\left({\log{{x}}}\right)}^{{4}}\)
c)
\(\displaystyle{f{{\left({x}\right)}}}={\frac{{{x}^{{4}}+{x}^{{2}}+{1}}}{{{x}^{{4}}+{1}}}}\)
William Burnett
2021-12-16
Answered
What is the inverse function of
\(\displaystyle{f{{\left({x}\right)}}}={x}^{{2}}\)
?
hvacwk
2021-12-16
Answered
How do you find
\(\displaystyle{\left({f}\cdot{g}\right)}{\left({x}\right)}\)
and
\(\displaystyle{\left({g}\cdot{f}\right)}{\left({x}\right)}\)
and determine if the given functions are inverses of each other
\(\displaystyle{f{{\left({x}\right)}}}={x}^{{2}}-{3}\)
and
\(\displaystyle{g{{\left({x}\right)}}}=\sqrt{{{x}}}+{3}\)
?
Cheexorgeny
2021-12-14
Answered
A mass hanging from a vertical spring is in simple harmonic motion as given by the following position function, where t is measured in seconds and s is in inches:
\(\displaystyle{s}{\left({t}\right)}={6}{\cos{{\left(\pi{t}+{\frac{{\pi}}{{{4}}}}\right)}}}\)
.
Round answers to 2 decimal places.
a. Determine the position of the spring at
\(\displaystyle{t}={2.5}{s}\)
b. Find the velocity of t spring
\(\displaystyle{t}={2.5}{s}\)
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