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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 67

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} \text { function } \\ \text { domain: all real numbers } \\ \text { range: all real numbers } \\ \text { intercept: }(0,-3)  \\ \text { symmetry: none } \end{array}   B)    \begin{array}{l} \text { function } \\ \text { domain: }\{x \mid x=2 \text { or } x=-3\} \\ \text { range: all real numbers } \\ \text { intercept: }(-3,0)  \\ \text { symmetry: } x \text {-axis } \end{array}   C)  function domain: all real numbers range:   \{y \mid y=2   or   y=-3\}   intercept:   (0,-3)    symmetry: none  D)   not a function


A)
 function  domain: all real numbers  range: all real numbers  intercept: (0,3)  symmetry: none \begin{array}{l}\text { function } \\\text { domain: all real numbers } \\\text { range: all real numbers } \\\text { intercept: }(0,-3) \\\text { symmetry: none }\end{array}

B)
 function  domain: {xx=2 or x=3} range: all real numbers  intercept: (3,0)  symmetry: x-axis \begin{array}{l}\text { function } \\\text { domain: }\{x \mid x=2 \text { or } x=-3\} \\\text { range: all real numbers } \\\text { intercept: }(-3,0) \\\text { symmetry: } x \text {-axis }\end{array}

C)
function
domain: all real numbers
range: {yy=2 \{y \mid y=2 or y=3} y=-3\}
intercept: (0,3) (0,-3)
symmetry: none

D)
not a function

Correct Answer:

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