Basic Function Rules

• The slope of the secant line through c

• The slope of the vertical line through c

• The slope of the horizontal line through c

• The slope of the line tangent to the function at c

Differentiate with respect to x.

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What is the derivative of 0?

• You can't take the derivative of 0.

• 0

• This is all derivative.

• Any constant

Which of the following is the graph of a linear function?

• A parabola

• A straight line

• A circle

• A hyperbola

A function is a type of rule in which each ​ (a)   results in exactly one ​ (b)   .​

• input

• output

• linear

• nonlinear

• straight line

Which of the following represents a function?

Which of the following is the correct definition of a function?

• A relation where each input has exactly one output

• A relation where each input has multiple outputs

• A relation where each output has multiple inputs

• A relation where inputs and outputs are the same

• d

• x

• x+c

• 1

• x⁵ - 3

• -10 x⁶ 

• x⁵ - 5

• -10 x^-6 

Find the derivative. f(x) = -8x^-3 + 5x

• f'(x) = -24x^-4 + 5

• f'(x) = 24x^-4 + 5

• f'(x) = 24x^-2 + 5

• f'(x) = 24x^-4 - 5