Function Math Problems - Practice with Solutions

Solve over the interval

$[0, 2 π) 2 (c o s^{2}) x + c o s x = 0$

Alyce Wilkinson 2021-02-03

$f (x) = a (x^{2}) - 8 x$
$l i m f (x) = - 1$
$x \to 2$

Khadija Wells 2021-02-03

Consider the following polynomial function. — - . - $= h (x) = x^{3} - 9 x^{2} + 27 x - 27 = (x - 3) (x - 3) (x - 3)$ . Determine the multiplicity of the zero x = 3.

Tyra 2021-01-31

Show that the inverse of any linear function $f (x) = m x + b$ , where $m \neq 0$ , is also a linear function. Give the slope and y-intercept of the graph of f-1 in terms ofm and b.

Elleanor Mckenzie 2021-01-31

A canyon is 900 meters deep at its deepest point. A rock is dropped from the rim above this point. Write the height of the rock as a function of time t in seconds. (Use -9.8 m/s2 as the acceleration due to gravity.) How long will it take the rock to hit the canyon floor? (Give your answer correct to 1 decimal place.)

kuCAu 2021-01-28

How do you use absolute value to find the distance between two points that have the same x-coordinates but different y-coordinates?

SchachtN 2021-01-28

Which of the following is an equation of the line that has a y-intercept of 2 and an x-intercept of 3?
(a) $- 2 x + 3 y = 4$
(b) $- 2 x + 3 y = 6$
(c) $2 x + 3 y = 4$
(d) $2 x + 3 y = 6$
(e) $3 x + 2 y = 6$

Line 2021-01-28

Which of the two functions below has the smallest minimum y-value??
$f (x) = 4 (x - 6)^{4} + 1, g (x) = 2 x^{3} + 28$ .
A. There is not enough information to determine.
B. g(x)
C.f(x)
D. The extreme minimum y-value for f(x)and g(x) is - infinity.

Nannie Mack 2021-01-27

An initial population of 4 tribbles was brought aboard the Enterprise. They grow at a rate of 50% every hour. Write an exponential growth function for this scenario

Josalynn 2021-01-27

Suppose that f(x) is a continuous, one-to-one function such that $f (2) = 1, f^{'} (2) = \frac{1}{4}, f (1) = 3$ , and f '(1) = 7. Let $g (x) = f^{- 1} (x)$ and let $G (x) = x^{2} \cdot g (x)$ . Find G'(1). (You may not need to use all of the provided information.)

djeljenike 2021-01-22

$\sin^{2} (- x) + \cos^{2} x = 1$

midtlinjeg 2021-01-22

Question 1
The function $N (t) = 15 t \sqrt{t^{2} + 1} + 2000$ denotes the number of members of a club t months after the club's opening. You can use the following
$N^{'} (t) = \frac{30 t^{2} + 15}{\sqrt{t^{2} + 1}}$ and/or $\int N (t) d t = 2000 t + 5 (t^{2} + 1)^{\frac{3}{2}} + C$
1.1 How many members were in the club after 12 months?

shadsiei 2021-01-19

Find (f o g)(x) and (g o f)(x), if
a) $f (x) = x^{2} - 6 x + 2$ and $g (x) = - 2 x .$
b) $f (x) = x^{2} + 3$ and $g (x) = 2 x - 1$

Emily-Jane Bray 2021-01-15

Anthony is working for an engineering company that is building a Ferris wheel to be used at county fairs. He wants to create an algebraic model that describes the height of a rider on the wheel in terms of time. He knows that the diameter of the wheel will be 90 feet and that the axle will be built to stand 55 feet off the ground. He also knows they plan to set the wheel to make one rotation every 60 seconds. Write at least two equations that model the height of a rider in terms of t, seconds on the ride, assuming that when t = 0, the rider is at his or her lowest possible height. Explain why both equations are accurate.
Part 2:One of Anthonys

jernplate8 2021-01-13

Evaluate the piecewise defined function at the indicated values.
$a^{m} \in H$
$f (x) = \begin{matrix} 5 & if x \leq 2 2 x - 3 & if x > 2 \end{matrix}$
$a^{m} \in H$
$f (- 3), f (0), f (2), f (3), f (5)$

Jerold 2021-01-13

$lim_{h \to 0^{-}} \frac{\sqrt{3} - \sqrt{{6 h^{2}} + {5 h + 3}}}{h}$

Kye 2021-01-13

Prove $P r o v e \sin 5 A - \sin A + \sin 2 A = \sin 2 A (2 \cos 3 A + 1)$

Cabiolab 2021-01-13

find the values of b such that the function has the given maximum or minimum value. $f (x) = - x^{2} + b x - 75$ , Maximum value: 25

Daniaal Sanchez 2021-01-13

If $f (x) = e^{x}$ and $g (x) = \log x$ show that $f o g = g o f$ given $x > 0$

permaneceerc 2021-01-10

What are the zeros of the function? Plot the function $y = (x + 3) (x - 3) (x - 4)$

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

Functions in Algebra Examples