Quiz 2.1, 2.2, & 2.4 (retake)

Use the graph of f ', the derivative of f, to find the slope of the tangent line to the graph of f at x = 3.

Use the graph of the function f to estimate the value of f ' (-1), the slope of the tangent line to f at x = -1.

• 2

• -2

• 0

• Does not exist

An equation for the line tangent to the graph of function f at x = 1 is y = -2x+6. Which of the following statements must be true?

• f (1) = 4

• f ' (1) = -2

• f (0) = 6

• None of the statements are true

Use the graph of f to find the average rate of change on the interval [ -3, 0 ].

• 4/3

• 3/4

• 0

• -1

This limit definition produces the derivative for which of the following functions?

• $f\left(x\right)=10x-1$

• $f\left(x\right)=5x^2-x$

• $f\left(x\right)=\left(x+h\right)^2$

Use the graph of the function f, and the tangent line to f at x = 2 to choose the correct statement.

• f ' (2) = 3

• f ' (2) = 0.5

• f ' (2) = 4

• f ' (2) = 0