Tangent Equations

Tangent Equations

12th Grade

14 Qs

quiz-placeholder

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Tangent Equations

Tangent Equations

Assessment

Quiz

Mathematics

12th Grade

Practice Problem

Hard

CCSS
HSF-BF.B.4A, HSG.GPE.A.1

Standards-aligned

Created by

Anthony Clark

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14 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Solve for the equation of the tangent line to the function k(x) = x^2 + 3x - 2 at the point (1, 2).

The equation of the tangent line is y = 4x - 2.

The equation of the tangent line is y = 3x - 4.

The equation of the tangent line is y = 2x - 1.

The equation of the tangent line is y = 5x - 3.

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Calculate the equation of the tangent line to the function r(x) = 2x^2 + 5x - 3 at the point (2, 7).

The equation of the tangent line is y = 7x - 10.

The equation of the tangent line is y = 2x + 5.

The equation of the tangent line is y = 9x - 11.

The equation of the tangent line is y = 3x - 1.

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given the function f(x) = 2x^3 - 4x + 1, find the slope of the tangent line at the point (2, 5).

The slope of the tangent line at the point (2, 5) is -5.

The slope of the tangent line at the point (2, 5) is 20.

The slope of the tangent line at the point (2, 5) is 10.

The slope of the tangent line at the point (2, 5) is 0.

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Determine the slope of the tangent line to the function m(x) = 2x^2 - 6x + 4 at the point (3, 10).

The slope of the tangent line to the function m(x) = 2x^2 - 6x + 4 at the point (3, 10) is 8

The slope of the tangent line to the function m(x) = 2x^2 - 6x + 4 at the point (3, 10) is 6.

The slope of the tangent line to the function m(x) = 2x^2 - 6x + 4 at the point (3, 10) is 3

The slope of the tangent line to the function m(x) = 2x^2 - 6x + 4 at the point (3, 10) is -2

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Given the function n(x) = 3x^3 - 2x^2 + 5x - 1, find the coordinates of the point where the tangent line is horizontal.

The coordinates of the point where the tangent line is horizontal are (0, 1)

The coordinates of the point where the tangent line is horizontal are (2, 3)

The coordinates of the point where the tangent line is horizontal are (1, 5)

The coordinates of the point where the tangent line is horizontal are (3, 7)

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Identify the coordinates of the point where the tangent line to the function q(x) = x^2 - 4x + 3 is horizontal

(1, 5)

(2, -1)

(0, 3)

(3, 2)

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Find the equation of the tangent line of y = 2x^3+3x^2-12x+1 when x = -2

y = x - 9

y = x + 9

y = 9

y = -9

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