1.3: Characteristics of Functions

Using the graph above,

 $g\left(4\right)=$  

(a)  

Using the graph above, f(4)=

 $f\left(4\right)=$  

(a)  

Using the graph above,

 $g\left(\ \ldots\right)=-1$  

(a)  

Using the graph above,

 $f\left(\ldots\right)=5$  

(a)  

Using the equation $f\left(x\right)=2x-3$  ,

determine the correct values that would complete the table. 

• A= -11  B=-3   C=1   D=7

• A= 5  B=-3   C=-1   D=7

• A= -11  B=-3   C=-1   D=13

• A= -5  B=-3   C=1   D=13

Using the equation $f\left(x\right)=-\frac{1}{2}x+4$  , complete the table with the missing values. 

• A= -5.5  B= -4.5   C= 3   D= 2.5

• A= -5.5  B= -4.5   C= 5   D= 5.5

• A= 5.5  B= 4.5   C= 5   D= 5.5

• A= 5.5  B= 4.5   C= 3   D= 2.5

Using the graph, identify the domain and range.

• Domain: $\left(0,\infty\right)$ Range: $\left(0,\infty\right)$

• Domain: $\left(\infty,\infty\right)$ Range: $\left(\infty,\infty\right)$

• Domain: $\left(-\infty,\infty\right)$ Range: $\left(-\infty,\infty\right)$

• Domain: $\left(-\infty,\infty\right)$ Range: $\left(0,\infty\right)$

Using the graph, identify the interval of increase and decrease.

• Interval of Increase: $\left(-\infty,\infty\right)$

  Interval of Decrease: $\left(-\infty,\infty\right)$

• Interval of Increase: $\left(-\infty,\infty\right)$

  Interval of Decrease: $None$

• Interval of Increase: $None$

  Interval of Decrease: $\left(-\infty,\infty\right)$

• Interval of Increase: $None$

  Interval of Decrease: $None$

Using the graph above, determine the domain and range.

• Domain: $\left(\infty,\infty\right)$ Range: $\left(\infty,\infty\right)$

• Domain: $\left(-\infty,\infty\right)$ Range: $\left(-\infty,\infty\right)$
  

• Domain: $\left(-\infty,\infty\right)$ Range: $None$

• Domain: $\left(0,\infty\right)$ Range: $\left(-\infty,\infty\right)$

Using the graph above, determine the interval of increase and decrease.

• Interval of Increase: $\left(-\infty,\infty\right)$

  Interval of Decrease: $\left(-\infty,\infty\right)$

• Interval of Increase: $None$

  Interval of Decrease: $\left(-\infty,\infty\right)$

• Interval of Increase: $\left(-\infty,\infty\right)$

  Interval of Decrease: $None$

• Interval of Increase: $\left(0,\infty\right)$

  Interval of Decrease: $\left(-\infty,\infty\right)$