Normal and Tangent Lines

Normal and Tangent Lines

11th - 12th Grade

13 Qs

quiz-placeholder

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Normal and Tangent Lines

Normal and Tangent Lines

Assessment

Quiz

Mathematics

11th - 12th Grade

Hard

CCSS
HSF-IF.C.7D, HSF.TF.B.7

Standards-aligned

Created by

Barbara White

FREE Resource

13 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Find the slope of f(x) = -3x2 – 6x at x = 1.

m = 0

f'(x) = -6x - 6

f'(x) = 6x

m = -12

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Write the slope of the line tangent to the graph of y=x2 – 2 at the point x = -8.

2

-4

-8

-16

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

This is the equation of the line tangent to the graph of y=x2+3 at the point x = -1.

y = -2x + 2

y = 2x + 2

-(1/2)x + (7/2)

y = (1/2)x + (7/2)

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

What is the equation of the line tangent to f(x)= 4x2+2x-1 at x=0?

y+1=2(x+1)

y=2x-1

y=2x+2

y= -x-1

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Write the equation of the tangent line of the given equation through the point.

y+2=9(x-3)

y + 2 = 3(x-3)

y - 2 = 3(x -3)

y-2 = 9(x-3)

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Media Image

15x2

(5/4)x4

indeterminate

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

If f '(x) = 0, what does that mean with respect to the tangent line?

Tangent line is vertical

Tangent line has a positive slope

Tangent line is horizontal

Tangent line has a negative slope

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