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3 years ago

What is the range of f(x) = – 4?

Mathematics

1 answer:

aliya0001 [1]3 years ago

7 0

Range is the value of the output
basically
y=f(x)
since it is -4

y=-4 is the range
not listed

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7 − x −(−5x) − 10 + 4x

patriot [66]

Answer:

8 x − 3

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2 years ago

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The coordinates of a point on a coordinate grid are (−3, 7). The point is reflected across the x-axis to obtain a new point. The

shepuryov [24]

The reflected points would be (-3,-7)

The x coordinate would stay the same but the y-coordinate would be the opposite

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2 years ago

Consider the following function. f(x) = 7x + 1 x (a) Find the critical numbers of f. (Enter your answers as a comma-separated li

sukhopar [10]

Answer:

a) DNE

b) The function increases for every real value of x.

c) DNE

Step-by-step explanation:

Given a function f(x), the critical points are those in which $f^{\prime}(x) = 0$ , that is, the roots of the first derivative of f(x).

Those critical points let us find the intervals in which the function increases or decreases. If the first derivative in the interval is positive, the function increases in the interval. If it is negative, the function decreases.

If the function increases before a critical point and then, as it passes the critical point, it starts to decrease, we have that the critical point $(x_{c}, f(x_{c}) is a relative maximum.If the function decreases before a critical point and then, as it passes the critical point, it starts to increase, we have that the critical point [tex](x_{c}, f(x_{c}) is a relative minimum.If the function has no critical points, it either always increases or always decreases.In this exercise, we have that:[tex]f(x) = 7x + 1$

(a) Find the critical numbers of f.

$f^{\prime}(x) = 0$

$f^{/prime}(x) = 7$

7 = 0 is false. This means that f has no critical points.

(b) Find the open intervals on which the function is increasing or decreasing.

Since there are no critical points, we know that either the function increases or decreases in the entire real interval.

We have a first order function in the following format:

$f(x) = ax + b$

In which $a > 0$ .

So the function increases for every real value of x.

(c) Apply the First Derivative Test to identify the relative extremum.

From a), we find that there are no critical numbers. So DNE

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3 years ago

A house appreciates (grows in value) about 6% each year. If the house is now worth 158,000, in about how many years will it be w

expeople1 [14]

200,000 = 158,000(1.06)^x
Divide both sides by 158,000
1.2658 = 1.06^x
Take the log of both sides and use the power rule to bring down the exponent (x) to the front.
log 1.2658 = x log 1.06
Divide both sides by log 1.06
log (1.2658)/log(1.06) = x
x = 4 years

CHECK
y = 158,000(1.06)^4
y = 199,471.36

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3 years ago

Find the slope of the line graphed below.

m_a_m_a [10]

Answer: 3/2

Step-by-step explanation:

To find the slope, you want to take the two points and plug it into the formula $m=\frac{y_2-y_1}{x_2-x_1}$ . That will find the slope. The points are (-5,-4) and (-1,2). $m=\frac{2-(-4)}{-1-(-5)} =\frac{6}{4}=\frac{3}{2}$

Now, we know that the slope is $m=\frac{3}{2}$ .

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2 years ago