3 years ago

Which statement correctly describes the relationship between the graph of f(x) = x and the graph of g(x) = f(x) + 5 ?

Mathematics

2 answers:

aleksandr82 [10.1K]3 years ago

8 0

The graph of g(x) = f(x)+5 is the graph of f(x) shifted up 5 units.

harkovskaia [24]3 years ago

3 0

F(x) + 5 was vertically translated up 5 units.

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lbvjy [14]

Answer:

a = 4

b = -2

Step-by-step explanation:

If the given function is continuous at x = 1

$\lim_{x \to 1^{-}} f(x)=(x+1)$

$=2$

$\lim_{x \to 1^{+}} f(x)=ax+b$

$=a+b$

$\lim_{x \to 1} f(x)=ax+b$

$=a+b$

And for the continuity of the function at x = 1,

$\lim_{x \to 1^{-}} f(x)=\lim_{x \to 1^{+}} f(x)=\lim_{x \to 1} f(x)$

Therefore, (a + b) = 2 -------(1)

If the function 'f' is continuous at x = 2,

$\lim_{x \to 2^{-}} f(x)=ax+b$

$=2a+b$

$\lim_{x \to 2^{+}} f(x)=3x$

$=6$

$\lim_{x \to 2} f(x)=3x$

$=6$

Therefore, $\lim_{x \to 2^{-}} f(x)=\lim_{x \to 2^{+}} f(x)=\lim_{x \to 2} f(x)$

2a + b = 6 -----(2)

Subtract equation (1) from (2),

(2a + b) - (a + b) = 6 - 2

a = 4

From equation (1),

4 + b = 2

b = -2

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3 years ago

Division number story with the answer 5/2

jek_recluse [69]

Answer:

I have one below (It's kind of simple though..)

Step-by-step explanation:

Harry Had 5 Potions he made in Potions Class. He would like to share the 5 potions with his 2 friends, Ron and Hermione. How many potions do they each get? Write the equation for how many each person gets in fractional form

(This is a simple one I don't have a complicated one..)

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Answer:

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8-3(2x-5)

8-6x+15

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Step-by-step explanation:

8-3(2x-5)

8-6x+15

23-6x

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3 years ago

Read 2 more answers

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RUDIKE [14]

Answer:

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Step-by-step explanation:

This is non- terminating number

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