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Roman55 [17]
1 year ago
15

The function f(x) = (x − 4)(x − 2) is shown. What is the range of the function?

Mathematics
1 answer:
leonid [27]1 year ago
8 0

The range of the quadratic function is [-1, ∞) after plotting the function on the coordinate plane.

<h3>What is a function?</h3>

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The function is:

f(x) = (x - 4)(x - 2)

The above function is a quadratic function.

The above function can be written as:

f(x) = x² - 6x + 8

From the graph,

The minimum value of graph at x = 3 is y = -1

The range of the function is [-1, ∞)

Thus, the range of the quadratic function is [-1, ∞) after plotting the function on the coordinate plane.

Learn more about the function here:

brainly.com/question/5245372

#SPJ1

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Complete the table Y=6x-4
viktelen [127]

Answer:

With Two points is enough to describe this graph

\left[\begin{array}{ccc}\frac{4}{6} &0\\0&-4\\\end{array}\right]

Step-by-step explanation:

Interception with Y axis (y=0), thus we have the following equation:

0=6*x+4

x=4/6

The point for this is (4/6 , 0)

Interception with x axis (x=0), thus we have the following equation:

Y=4*0-4

y=-4

The point for this is (0, -4)

4 0
2 years ago
The table below represents a linear function f(x) and the equation represents a function g(x):
Elza [17]

Answer:

(a) The slope of f(x) is greater than the slope of g(x)

(b) f(x) has a greater y intercept

Step-by-step explanation:

Given

\begin{array}{cc}x & {f(x)} & -1&-9&0&-1&1&7 \ \end{array}

g(x) = 3x - 2

Solving (a): Compare the slopes

The slope (m) of f(x) is calculated as;

m = \frac{f(x_2) - f(x_1)}{x_2 - x_1}

This gives:

m = \frac{f(0) - f(1)}{0 - 1}

m = \frac{f(0) - f(1)}{- 1}

Substitute values for f(0) and f(1)

m = \frac{-1 - 7}{- 1}

m = \frac{-8}{- 1}

m = 8

The slope of g(x) can be gotten using the following comparison

g(x) = mx + b

m \to slope

So:

g(x) = 3x -2

m = 3

m_{f(x)} > m_{g(x)}

Solving (b): Compare the y intercept

y intercept is when x = 0

From the table of f(x)

f(0) = -1

From the equation of g(x)

g(x) = 3x -2

g(0) = 3*0-2

g(0) =-2

<em></em>f(0) > g(0)<em></em>

6 0
2 years ago
Select the correct answer,
ivanzaharov [21]

Answer:

D. 81

Step-by-step explanation:

Raise  

3

to the power of  

4

.

81

=

x

Rewrite the equation as  

x

=

81

.

x

=

81

7 0
2 years ago
Hello, no rush, but I need to know the answer for 4(x-2+y)
bixtya [17]

Answer:

It's 4x - 8 + 4y

Step-by-step explanation:

4(x-2+y)

4 (x) = 4x

4 (2) = 8

4 (y) = 4y

4x - 8 + 4y

3 0
3 years ago
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