50Pts guys!!!! Please help me its easy!

Mathematics

1 answer:

mote1985 [20]2 years ago

5 0

Answer:

c. f(x)=x(x+2)(x-1)(x-4)

Step-by-step explanation:

Where it says "as x goes to negative infinity" then "y goes to infinity" (that's the part with the infinity symbols) that means the graph is going up at it's left end. This curve is a quartic (4th degree) which means its left and right ends are kind of parabola-ish, but the middle is not the neat u-ish, v-ish shape of a parabola; it's more like a wonky, noodle-ish wavy affair. Anyway, LIKE a parabola when the beginning of the equation is positive, the two ends point up. That's what's happening here and so we can eliminate b. and d. as potential answers.

Since -2, 0, 1, 4 are zeros (which are solutions...and also x-intercepts) we can find the factors of the function.

If x = -2

ADD 2 to both sides.

x + 2 = 0

This means (x+2) is a factor.

This is enough info to select answer c. but let's verify the other factors.

If x = 1

SUBTRACT 1 from both sides.

x - 1 = 0

Thus means (x - 1) is a factor.

If x = 4

SUBTRACT 4 from both sides.

x - 4 = 0

(x - 4) is a factor.

You can see c. has all these factors as well as x, because x=0 already, so x is a factor too.

I think of this as a working backwards problem, bc usually you have to factor and solve. This one, you have solutions (which are zeros and x-intercepts) and work backwards to find factors and multiply them together to find the function.

You might be interested in

Identify the lateral area and surface area of a regular triangular pyramid with base edge length 14 cm and slant height 15 cm.

sattari [20]

How did you get 315.

6 0

3 years ago

A line has a slope of 2 and passes through the point (3, 9). Which is the equation of the line?

Oxana [17]

We know, y - y1 = m(x - x1)
y - 9 = 2(x - 3)
y - 9 = 2x - 6
y = 2x + 3

In short, Your Answer would be Option B

Hope this helps!

3 0

3 years ago

Find the mean, median, mode, and range of the data set,

ozzi

Answer:

Step-by-step explanation:

8 0

3 years ago

To obtain information on the corrosion-resistance properties of a certain type of steel conduit, 45 specimens are buried in soil

Fiesta28 [93]

Answer:

The sample has not met the required specification.

Step-by-step explanation:

As the average of the sample suggests that the true average penetration of the sample could be greater than the 50 mils established, we formulate our hypothesis as follow

$H_0$ : The true average penetration is 50 mils

$H_a$ : The true average penetration is > 50 mils

Since we are trying to see if the true average is greater than 50, this is a right-tailed test.

If the level of confidence is α = 0.05 then the $z_\alpha$ score against we are comparing with, is 1.64 (this is because the area under the normal curve N(0;1) to the right of 1.64 is 0.05)