Exam 2: Functions and Linear Functions

Solve the problem. -The function $f ( t ) = - 0.14 t ^ { 2 } + 0.49 t + 31.3$ models a certain country's population in millions, ages 65 and older, where $t$ represents years after 2010 . The function $g ( t ) = 0.54 t ^ { 2 } + 11.84 t + 108.1$ models the total yearly cost of the government's health insurance program in billions of dollars, where t represents years after 2010. What does the function $\frac { g } { f }$ represent? Find $\left( \frac { g } { f } \right) ( 5 )$ .

Find the slope of the line that goes through the given points. - $( - 1 , - 8 ) , ( 9 , - 3 )$

Find the requested value. - $f ( x ) = - 3 x ^ { 2 } - 4 , g ( x ) = x - 1$ Find $f ( - 4 ) - g ( - 4 )$ .

Decide whether the relation is a function. -Find f(4) when f(x) = 5x² + 2x + 2.

Use the vertical line test to determine whether or not the graph is a graph of a function. -

Find the slope of the line that goes through the given points. - $( 4 , - 3 ) , ( - 5 , - 1 )$

Rewrite the given equation in slope-intercept form by solving for y. -6x + y = 4

Decide whether the relation is a function. -

Decide whether the relation is a function. -

Use the vertical line test to determine whether or not the graph is a graph of a function. -

Find the slope of the line that goes through the given points. - $\left( \frac { 3 } { 4 } , 5 \right)$ and $\left( \frac { 3 } { 4 } , - 1 \right)$

Find the indicated function value. - $f ( x ) = 4 x + 5 , g ( x ) = - 4 x + 3$ Find $( f + g ) ( - 1 )$ .

Find the domain of the function. - $f ( x ) = \frac { 1 } { x - 5 } + \frac { 4 } { x + 10 }$

For the pair of functions, determine the domain of f + g. - $f ( x ) = 5 x + 5 , g ( x ) = \frac { 3 } { x + 1 }$

Use the graph to find the indicated function value. -y = f(x). Find f(-4)

Use the graph to find the value. - $( f - g ) ( - 5 )$

Decide whether the relation is a function. -

Find the domain of the function. - $f ( x ) = x - \frac { 7 } { x - 3 }$

Find the requested value. - $f ( x ) = - 4 x - 1 , g ( x ) = 4 x ^ { 2 } - 5 x + 5$ Find $\left( \frac { f } { g } \right) ( 2 )$ .

Use intercepts and a checkpoint to graph the linear function. --4x - 24y = 24