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3 years ago

Which of the following is the function for the graph below and shows the end behavior of the function as x ⟶ +∞?

Mathematics

2 answers:

sladkih [1.3K]3 years ago

6 0

The simplest solution:

y - intercept of the function on the graph is (0; 6).

Only function f(x) = (4x^2 - 7x - 2)(2x - 3) has that y-intercept

f(0) = (4 · 0² - 7 · 0 - 2)(2 · 0 - 3) = (-2)(-3) = 6

Other functions have y - intercept equal (0; -6).

f(0) = (0 ... - 2)(0 + 3) = (-2)(3) = -6 or f(0) = (0 ... + 2)(0 - 3) = (2)(-3) = -6

Grace [21]3 years ago

5 0

The end behaviour is f(x) ---> +∞ because the end of the graph rises to the right so its either B or C

The roots of B are -0.25, 1.5 and 2

( because 4x^2 - 7x - 2 = (4x + 1)(x - 2) and 2x - 3 = 0) ) and these values agree with the graph

Answer is B

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natta225 [31]

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3 years ago

To one-one functions g and h are defined as follows.

Andreyy89

Answer:

9
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Step-by-step explanation:

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3 years ago

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bearhunter [10]

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4 years ago

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ycow [4]

Answer:

Step-by-step explanation: 3root5x^2 + 25x - 10root5 = 0

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Hope it helped u,

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3 years ago

Find the values of a and b such that

Varvara68 [4.7K]

Answer:

a = 1.5

b = 1.75

Step-by-step explanation:

First, we need to solve $(x+a)^2$ and replace the result in the initial equation as:

$x^2+3x+4=(x+a)^2+b\\x^2+3x+4=x^2+2ax+a^2+b$

Then, this equality apply only if the coefficient of $x$ is equal in both sides and the constant is equal in both sides.

It means that we have two equations:

$3x=2ax\\4=a^2+b$

So, using the first equation and solving for a, we get:

$3x=2ax\\3=2a\\a=\frac{3}{2}=1.5$

Finally, replacing the value of a in the second equation and solving for b, we get:

$4=a^2+b\\4=1.5^2+b\\b=4-1.5^2\\b=4-2.25\\b=1.75$

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3 years ago