Slope Fields Pre-assessment

A slope field is a pictorial representation of all of the possible solutions to a given differential equation.

• True

• False

• I don't know

Tags

CCSS.8.EE.C.8B

Which functions below will have the same slope field? (choose all that apply)

• y = x² - 3

• y = x² + 4

• y = 2x - 5

• y = 2x²

At x = 2, which statement is true about the value of differential equation dy/dx = (2 - x)/y

• The derivative is positive.

• The derivative is negative.

• The derivative is zero.

• The derivative is undefined.

Which function is represented by the slope field shown.

• y = sin x

• y = 0.5 x³

• y = cos x

• dy/dx = x/y

If a function is y = 2x, then its slope field equation would...

• have all slopes of 2

• have all slopes of x²

• have slopes x³

• have slopes of 0

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSS.ID.C.7

What is the derivative for this slope field?

• dy/dx = cos x

• dy/dx = sin x

• dy/dx = tan x

• dy/dx = sec² x

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

• B
• C
• D
• E

• A
• B
• D
• E

Which choice below represents this slope field?

• dy/dx = 2x

• dy/dx = -x

• dy/dx = x

• dy/dx = x²

Which differential equation represents the given slope field?

• dy/dx = -x

• dy/dx = x²

• dy/dx = x/y

• dy/dx = y/x