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Find and Simplify the Difference Quotient of F f(x+h)f(x)h\frac { f ( x + h ) - f ( x ) } { h }

Question 179

Multiple Choice

Find and simplify the difference quotient of f, f(x+h) f(x) h\frac { f ( x + h ) - f ( x ) } { h } h0\mathbf { h } \neq 0 , for the function.
- Find and simplify the difference quotient of f,  \frac { f ( x + h )  - f ( x )  } { h }   \mathbf { h } \neq 0  , for the function. -  A)    \begin{array}{l} \begin{array}{l} \text { function } \\ \text { domain: }\{x \mid x \leq 0\} \\ \text { range: }\{y \mid y \geq-2\} \\ \text { intercepts: }(-2,0) ,(0,-2) ,(2,0)  \end{array}\\ \text { symmetry: } y \text {-axis } \end{array}   B)   function domain:   \{x \mid x \geq-2\}   range:   \{y \mid y \leq 0\}   intercepts:   (-2,0) ,(0,-2) ,(2,0)    symmetry: none  C)  function domain: all real numbers range: all real numbers intercepts:   (-2,0) ,(0,-2) ,(2,0)    symmetry: none  D)  not a function  A)
 function  domain: {xx0} range: {yy2} intercepts: (2,0) ,(0,2) ,(2,0)  symmetry: y-axis \begin{array}{l}\begin{array}{l}\text { function } \\\text { domain: }\{x \mid x \leq 0\} \\\text { range: }\{y \mid y \geq-2\} \\\text { intercepts: }(-2,0) ,(0,-2) ,(2,0) \end{array}\\\text { symmetry: } y \text {-axis }\end{array}

B)
function
domain: {xx2} \{x \mid x \geq-2\}
range: {yy0} \{y \mid y \leq 0\}
intercepts: (2,0) ,(0,2) ,(2,0) (-2,0) ,(0,-2) ,(2,0)
symmetry: none

C)
function
domain: all real numbers
range: all real numbers
intercepts: (2,0) ,(0,2) ,(2,0) (-2,0) ,(0,-2) ,(2,0)
symmetry: none

D) not a function

Correct Answer:

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