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Tangent Equations

Authored by Anthony Clark

Mathematics

12th Grade

CCSS covered

Tangent Equations
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14 questions

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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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