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Algebra II

For the following exercise, for each polynomial, a. find the degree; b. find the zeros, if any; c. find the y-intercept(s), if any; d. use the leading coefficient to determine the graph’s end behavior; and e. determine algebraically whether the polynomial is even, odd, or neither.
$f (x) = 2 x^{2} - 3 x - 5$

zi2lalZ 2021-06-14

Find a recursive rule that models the exponential growth of $y = 2 {(1.08)}^{t}$

SchachtN 2021-06-13

The process by which we determine limits of rational functions applies equally well to ratios containing noninteger or negative powers of x: Divide numerator and denominator by the highest power of x in the denominator and proceed from there. Find the limits.
$lim_{x \to - \infty} \frac{\sqrt[3]{x} - 5 x + 3}{2 x + x^{\frac{2}{3}} - 4}$

texelaare 2021-06-13

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coexpennan 2021-06-13

Give a example of two functions h(x) and g(x), such that (h o g) (x) does not exist.

Ramsey 2021-06-13

$F = G m 1 m \frac{2}{r^{2}}$ for m2

Annette Arroyo 2021-06-13

Carla is using the Rational Root Theorem and synthetic division to find real roots of polynomial functions and sketch their graphs. She says she has wasted her time when she tests a possible root and finds a nonzero remainder instead. Do you agree with her statement? Explain your reasoning.

CMIIh 2021-06-13

Identify the function as exponential growth or exponential decay.Then identify the growth or decay factor.
$y = 0.15 {(\frac{3}{2})}^{x}$

Maiclubk 2021-06-13

Find the quadratic polynomial whose graph passes through the points (0, 0), (-1, 1), and (1, 1).

Dolly Robinson 2021-06-13

State whether the equation represents exponential growth, exponential decay, or neither.
$y = 0.93 \cdot 2^{x}$

sjeikdom0 2021-06-13

With what kind of exponential model would doubling time be associated? What role does doubling time play in these models?

he298c 2021-06-12

Find the multiplier for the rate of exponential growth or decay. 1% decay ________

Haven 2021-06-11

Convert polar equation to a rectangular equation. Then determine the graph’s slope and y-intercept.
$r \sin (0 - \frac{π}{4}) = 2$

a2linetagadaW 2021-06-11

What equation should be used when modeling an exponential function that models a decrease in a quantity over time?

FizeauV 2021-06-11

Which set of ordered pairs could be generated by an exponential function?
A. $(1, 1) (2, \frac{1}{2}) (3, \frac{1}{3}) (4, \frac{1}{4})$
B. $(1, 1) (2, \frac{1}{4}) (3, \frac{1}{9}) (4, \frac{1}{16})$
C. $(1, \frac{1}{2}) (2, \frac{1}{4}) (3, \frac{1}{8}) (4, \frac{1}{16})$
D. $(1, \frac{1}{2}) (2, \frac{1}{4}) (3, \frac{1}{6}) (4, \frac{1}{8})$

yevanemm000 2021-06-10

the function P represent the population $P (d)$ , in thousands, of a colony of insects d days after first being measured. A model for $P$ is $P (d) = 10 \cdot (1.08)^{d}$

a) There were 1,080 Insects when the colony was first counted.

b) One week after the colony was first counted, there were 10,800 insects.

c) The growth factor per day is $1.08$

d) The growth factor per week is $1.80 \cdot 7$

e) The growth factor per hour is ${1.08}^{\frac{1}{34}}$

CheemnCatelvew 2021-06-10

Determine whether the function represents exponential growth or exponential decay. Then identify the percent rate of change. $f (t) = 200 (\frac{4}{3})^{t}$

Tyra 2021-06-10

One problem with all exponential growth models is that nothing can grow exponentially forever. Describe factors that might limit the size of a population.

Tammy Todd 2021-06-10

Show that an exponential model fits the data. Then write a recursive rule that models the data.
n 0 1 2 3 4 5 f(n)96 54 48 24 12 6 3

Daniaal Sanchez 2021-06-10

Solve the equation $(\sqrt{x^{2} - 3 x}) = 2 x - 6$ , inequality, or system of equations.

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