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Search Results for asymptote - All Grades

68 questions match "asymptote". Refine Your Search

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Grade 11 Functions and Relations CCSS: HSF-IF.C.7d

Identify the horizontal asymptote of the function

$y=1$
$y=0$
$y=2$
No horizontal asymptote

Grade 11 Functions and Relations CCSS: HSF-IF.C.7d

Identify the vertical asymptotes of the function

$x=1,−2$
$x=1,$
$x=-1,2$
$x=−2$

Grade 11 Functions and Relations CCSS: HSF-IF.C.7d

Identify the horizontal asymptote of the function

$y=3/2$
$y=0$
$y=3$
No horizontal asymptote

Grade 11 Functions and Relations CCSS: HSF-IF.C.7d

Identify the horizontal asymptote of the function

$y=7/4$
$y=0$
$y=1$
No horizontal asymptote

Grade 11 Function and Algebra Concepts CCSS: HSF-IF.B.4

What is the significance of the horizontal asymptote of a function?

It is a line that the function approaches but never touches as x approaches positive or negative infinity
It is the minimum or maximum value of the function
It is the slope of the function at a specific point
It is the x-intercept of the function

Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7d

Let

$f$ be a rational function such that

$f(x) = (p(x))/(q(x))$ , where

$p(x)$ is a polynomial of degree

$m$ and leading coefficient

$q(x)$ is a polynomial of degree

$n$ and leading coefficient

$b$ . For each choice about the relationship between the degrees of the polynomials

$p(x)$ and

$q(x)$ , choose the correct fact concerning potential horizontal asymptotes of the graph of

$f(x)$ .

	$m>n$	$m=n$	$m < n$
No horizontal asymptote
The horizontal asymptote is the x-axis
The horizontal asymptote is the line $y =a/b$

Grade 12 Functions and Relations

Which of the following functions has a vertical asymptote at x = 1, a horizontal asymptote at y = 0, and a hole at x = 4?

$y=(3x)/(x-1)$
$y=(x+1)/(x^2 + 5x + 4)$
$y=(x-1)/(x^2-5x+4)$
$y=(x-4)/(x^2-5x+4)$

Grade 11 Functions and Relations CCSS: HSF-IF.C.7d

Identify the zeros, vertical asymptotes, and end behavior of the function

Zeros: $x=±3$ ; Vertical Asymptotes: $x=−3,2$ ; End Behavior: $y→1 as x→∞$
Zeros: $x=±3$ ; Vertical Asymptotes: $x=−3,2$ ; End Behavior: $y→0 as x→∞$
Zeros: $x=±3$ ; Vertical Asymptotes: $x=−2,3$ ; End Behavior: $y→-1 as x→∞$
Zeros: $x=±3$ ; Vertical Asymptotes: $x=−2,3$ ; End Behavior: $y→1 as x→∞$

Grade 11 Functions and Relations CCSS: HSF-IF.C.7d

Identify the horizontal asymptote of the function

$y=0$

$y=0$
$y=4/3$
No horizontal asymptote
$y=5/3$

Grade 12 Functions and Relations

Identify the vertical asymptote.

$y= (2x)/(x+6$

x = 6
x = -6
x = 2
x = -2

Grade 11 Functions and Relations CCSS: HSF-IF.C.7d

Identify the zeros, vertical asymptotes, and end behavior of the function

Zeros: None; Vertical Asymptotes: $x=±2$ ; End Behavior: $y→5 as x→∞$
Zeros: None; Vertical Asymptotes: $x=±2$ ; End Behavior: $y→1 as x→∞$
Zeros: None; Vertical Asymptotes: $x=±2$ ; End Behavior: $y→3 as x→∞$
Zeros: None; Vertical Asymptotes: $x=±2$ ; End Behavior: $y→0 as x→∞$

Grade 11 Functions and Relations CCSS: HSF-IF.C.7d

Identify the zeros, vertical asymptotes, and end behavior of the function

Zeros: $x=±2$ ; Vertical Asymptotes: $x=−4,2$ ; End Behavior: $y→1 as x→∞$
Zeros: $x=±2$ ; Vertical Asymptotes: $x=−4,2$ ; End Behavior: $y→0 as x→∞$
Zeros: $x=±2$ ; Vertical Asymptotes: $x=−2,4$ ; End Behavior: $y→-1 as x→∞$
Zeros: $x=±2$ ; Vertical Asymptotes: $x=−2,4$ ; End Behavior: $y→1 as x→∞$

Grade 12 Functions and Relations

Give the equation of the vertical asymptote.

$y=(4x)/(x+3)$

x = -3
x = 3
x = 0
x = 4

Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7d

This question is a part of a group with common instructions. View group »

Which of the following are vertical asymptotes of the function

$f(x)?$ There may be more than one correct answer.

$x=-3$
$x=-1$
$x=5$
This function has no vertical asymptotes.

Grade 9 Stars

A red giant star follows what path on the HR diagram after it begins fusing helium?

Red Giant Branch
Horizontal Branch
Asymptotic Giant Branch
Main Sequence

Grade 11 Functions and Relations CCSS: HSF-IF.C.7, HSF-IF.C.7d

When graphed, the function

$f(x) = (x^3 + x^2 -10x + 8)/(x^2-3)$ has a slant or oblique asymptote. What is the equation of this asymptote?

$y=-7x+11$
$y=x+1$
$y=x - 8/3$
$y = -10x + 8$

Grade 12 Function and Algebra Concepts CCSS: HSF-IF.C.7d

What is the horizontal asymptote of the function y = 2(1/3)^x?

y = 0
y = 1
y = 0 as x approaches infinity
y = 2

Grade 11 Math CCSS: HSF-IF.C.7e

What is the horizontal asymptote for the function g(x) = 5(0.5)^x?

y = 0
y = 5
x = 0
x = 5

Grade 11 Functions and Relations

Determine the vertical asymptote of the following logarithmic function.

$y=log (x+3)$

y-axis
x-axis
x = -3
y = 3

Grade 11 Functions and Relations

Identify the holes and vertical asymptotes of this function.

$f(x)=1/(2x+6)$

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