Rewrite each rational function in graphing form. Then graph it

Mathematics

1 answer:

Nadya [2.5K]3 years ago

3 0

Factor the top and bottom. vertical asymptotes are the values for x that will make the denominator = 0. To find the horizontal asymptote when the powers of the numerator and denominator are the same, just divide to coefficients.
asymptotes are where the graph cant go, the graph will get closer and closer by never touch....see the attachment

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a cold wave hit chicago when the temperature hit 62 f during the cold wave the temperature dropped 2 degrees every hour how many

Vladimir [108]

We start at 62 Fahrenheit. And every hour we drop two degrees. We want to know how long it took for the temperature to drop to 40 Fahrenheit.

If one hour passed, then the temperature dropped two degrees.
If two hours passed, then the temperature dropped 4 degrees.

See the pattern? We can define this as 2h. Where h represents time in hours.
We subtract 2h from 62.

We can write this as a function. F(h) = 62 - 2h.
Where F is the temperature in Fahrenheit. And h is the hour(s).

Now that we have the formula, let's plug in the value 40 Fahrenheit to see how long it took for the temperature to drop to 40 degrees.

40 = 62 - 2h
Subtract 62 from each side

-22 = -2h
Divide both sides by 2

h = 11

So, it took 11 hours for the temperature to drop to 40 Fahrenheit.

3 0

2 years ago

Find a polynomial f(x) of degree 4 that has the following zeros. 2, 5, 0, -7

Otrada [13]

Answer:

Step-by-step explanation:

f(x) = (x - 2)(x - 5)x(x+ 7)

f(x) = (x^2 - 7x + 10)*x * (x + 7)

f(x) = x(x^3 - 39x + 70)

f(x) = x^4 - 39x^2 + 70x

To show that this is correct, I've made a graph with these points labeled. The graph is just around the x axis. The local maximums and minimums are just too large a value.