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bija089 [108]
4 years ago
8

The asymptote of the function f(x) = 3x + 1 – 2 is_________ . Its y-intercept is_____ .

Mathematics
2 answers:
mixas84 [53]4 years ago
8 0
Asymptote is y = -1

y-intercept is (0, -1)
77julia77 [94]4 years ago
6 0

Answer:

In first blank : y = - 2,

In second blank : ( 0, 1 )

Step-by-step explanation:

Given function is,

f(x)=3^{x+1}-2

The horizontal asymptote of the function f(x),

y=lim_{x\rightarrow \infty} f(x)

y=lim_{x\rightarrow \infty} 3^{x+1}-2

y=3^{\infty+1}-2

y=3^\infty - 2

y=0-2

⇒ y = -2

First option is correct.

Also, the function has no vertical asymptote,

2. For finding the y-intercept, x = 0,

f(0)=3^{0+1}-2=3-2=1

Hence, the y-intercept = (0,1)

Third option is correct.

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What do the graphs of the two even degree functions (y = x^2 and y = x^4) have in common?
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8 0
3 years ago
Calculate the height of a right circular cylinder with a surface area of 300 square inches and a radius of 5 inches. a. 2.45 inc
julsineya [31]

Answer:

The height of the right circular cylinder is 4.55 inches ⇒ b

Step-by-step explanation:

The formula of the surface area of a right circular cylinder is

S.A = 2πrh + 2πr², where

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  • h is its height

∵ The surface area of a right circular cylinder is 300 square inches

∴ S.A = 300 in.²

∵ Its radius is 5 inches

∴ r = 5 in.

∵ π = 3.14

→ Substitute them in the rule above

∵ 300 = 2(3.14)(5)(h) + 2(3.14)(5)²

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→ Divide both sides by 31.4

∵ 4.554140127 = h

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3 0
3 years ago
Use the slope formula to find the missing coordinate. m =3/5 , P(3, 2) and Q(8,_)
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3/5 = (Z - 2)/(8-3)
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5 0
3 years ago
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