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Simora [160]
2 years ago
11

Given the function f(x)=2x-1 Evaluate: a) 2f(x) b) f(2x)​

Mathematics
1 answer:
Dmitrij [34]2 years ago
3 0

Answer:

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

b) f(2x) = 4x - 1

Explanation:

Given function:

  • f(x) = 2x - 1

a) 2f(x)

2f(x) = 2(2x - 1)

       = 4x - 2

b) f(2x)

f(2x) = 2(2x) - 1

       = 4x - 1

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so, when x = 7, y = 0, that's the x-intercept, or so-called a solution or zeros.

now, it happens twice though, so, that simply means, the root of 7 has a multiplicity of 2  and is an even multiplicity, and even number, and when that happens, the graph doesn't really cross the x-axis, it simply bounces off of it.

so the graph goes down down, gets to 7, bounces back up, well, it made a U-turn, that's the vertex, at 7,0 as well.

to find the y-intercept, simply set x = 0, let's do so

\bf y=\cfrac{1}{2}(x-7)(x-7)\implies y=\cfrac{1}{2}(0-7)(0-7)\implies y=\cfrac{1}{2}(-7)(-7)
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so is at 0, 24.5

the stretch will be the coefficient in front of the function, in this case is 1/2, is stretches in relation to the y-axis by twice as much.
7 0
4 years ago
Describe how the graph of the equation relates to the graph of y = x2.<br> f(x) = -x + 5)2
Kobotan [32]

Answer:

Step-by-step explanation:

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The graph of y = (x + 5)^2 has the same shape as that of y = x^2, but has been translated 5 units to the left.

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3 years ago
The inverse variation equation shows the relationship between wavelength in meters, x, and frequency, y.
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 λ = 0.1 m

Hope this answers the question.
7 0
4 years ago
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Answer:

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