Function Math Problems - Practice with Solutions

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 $\pm 0.35$ magnitude. Find a function that models the brightness of Delta Cephei as a function of time.

hionormf 2021-12-18

True or False. The domain and the range of the reciprocal function are the set of all real numbers.

oliviayychengwh 2021-12-18

Find the linear approximation of the function $f (x) = \sqrt{4 - x}$ at $a = 0$ and use it to approximate the numbers $\sqrt{3.9}$ and $\sqrt{3.99}$ , please.

Jason Yuhas 2021-12-17

Assume f and g are differentiable on their domains with $h (x) = (f o g) (r)$ . Suppose the equation of the line tangent to the graph of g at the point $(4, 7)$ is $y = 3 x - 5$ and the equation of the line tangent to the graph of f at $(7, 9)$ is $y = - 2 x + 23$ .
(a) Calculate $h (4)$ and $h^{'} (4)$ .
(b) Determine an equation of the line tangent to the graph of h at the point on the graph where $x = 4$ .

Julia White 2021-12-16

Find the least integer n such that $f (x)$ is $O (x^{n})$ for each of these functions.
a) $f (x) = 2 x^{2} + x^{3} \log x$
b) $f (x) = 3 x^{5} + {(\log x)}^{4}$
c) $f (x) = \frac{x^{4} + x^{2} + 1}{x^{4} + 1}$

William Burnett 2021-12-16

What is the inverse function of $f (x) = x^{2}$ ?

hvacwk 2021-12-16

How do you find $(f \cdot g) (x)$ and $(g \cdot f) (x)$ and determine if the given functions are inverses of each other $f (x) = x^{2} - 3$ and $g (x) = \sqrt{x} + 3$ ?

Cheexorgeny 2021-12-14

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: $s (t) = 6 \cos (π t + \frac{π}{4})$ .
Round answers to 2 decimal places.
a. Determine the position of the spring at $t = 2.5 s$
b. Find the velocity of t spring $t = 2.5 s$

Linda Seales 2021-12-13

Find the general solution of the given differential equation
$x \frac{d y}{d x} - y = x^{2} \sin x$
give the largest interval over which the genreral solution is defined.

Holly Guerrero 2021-12-13

Given the following:
$P (A) = 0.3$
$P (B) = 0.2$
$P (A and B) = 0.06$
A and B are independent?

Pam Stokes 2021-12-12

How do you find $(g - f) (x) given g (x) = - x^{2} - 1 - 2 x and f (x) = x + 5$

Susan Nall 2021-12-12

Expand each function (using the appropiate technique/formula) Compute the derivative of the expanded function by applying the differentiation rules
$f (x) = {(x + 5)}^{2}$
$f (x) = {(4 x^{2} - 3)}^{2}$

Irrerbthist6n 2021-12-12

Give some some examples of a symmetric function.

ajedrezlaproa6j 2021-12-11

Find the function values f(0) given F(x)=-4x.

osula9a 2021-12-11

Please, evaluate and simplify different quotients:
$\frac{f (x + h) - f (x)}{h}$ , where $h \neq 0$ and $\frac{f (x) - f (a)}{x - a}$ where $x \neq a$ for each of the following functions:
$f (x) = x^{2} - 2 x$ ;
$f (x) = 4 - 5 x$ ;
$f (x) = x^{3} + 2$ ;
$f (x) = \frac{7}{x + 3}$

diferira7c 2021-12-10

How do you find domain restrictions?

Ikunupe6v 2021-12-10

Find the instantaneous rate of change of a function at a point.

Concepcion Hale 2021-12-10

Find the centroid of the region bounded by the given curves. $y = x^{3}, x + y = 2, y = 0$

Dealing with function Math questions is never easy as these can be implemented virtually anywhere where Algebra is used. It means that starting with at least one function Math example from what has been provided below will help you. Of course, certain function Math problems will require more analysis and verbal explanations, yet these are also encountered as you look through the questions. Learn about the use of equations first! The functions Math problems are always based on the analytical part because the function Math equation always has only one answer for every unknown variable.

Algebra I