Exam 1: Graphs, Functions, and Models

Solve and graph the solution set. - $- 9 - 5 x - 5 \geq - 6 x - 5$ A) $\{ x \mid x \geq 9 \} \text { or } [ 9 , \infty )$ B) $\{ x \mid x \leq 9 \} \text { or } ( - \infty , 9 ]$ C) $\{ x \mid x < - 5 \} \text { or } ( - \infty , - 5 )$ D) $\{ x \mid x > - 5 \} \text { or } ( - 5 , \infty )$

Find the slope of the line. - A) 2 B) -1 C) -2 D) 1

Find the intercepts and then graph the line. - A) x-intercept: (3, 0); y-intercept: (0, -6) B) x-intercept: (-3, 0); y-intercept: (0, 6) C) x-intercept: (3, 0); y-intercept: (0, 6) D) x-intercept: (-3, 0); y-intercept: (0, -6)

Find the domain and range of the function represented in the graph. - A) Domain: [0,6] ; Range: [0,3] B) Domain: [0,1] ; Range: [0,2] C) Domain: [0,2] ; Range: [0,1] D) Domain: $( - \infty , 1 ]$ Range: $[ 2 , \infty ]$

Plot the two points given by the ordered pairs. -A(0, -4), B(-2, 2) A) B) C) D)

Solve and give interval notation for the solution set. Then graph the solution set. - $3 x < 9 \text { or } x + 4 \geq 12$ A) $( - \infty , 8 ]$ B) $( - \infty , 3 ) \cup [ 8 , \infty )$ C) $( - \infty , - 8 ] \cup ( 3 , \infty )$ D) $( 3 , \infty )$

Determine whether the graph is the graph of a function. -

Find the requested measurement. -The point (-2, -3)is on a circle that has center (-2, 4). Find the length of the diameter of the circle.

Find the domain of the function. -f(x)=-7 x+7 A) $\{ x \mid x > 0 \} , \text { or } ( 0 , \infty )$ B) all real numbers, or $( - \infty , \infty )$ C) $\{ x \mid x \neq 0 \} , \text { or } ( - \infty , 0 ) \cup ( 0 , \infty )$ D) $\{ x \mid x > - 7 \} , \text { or } ( - 7 , \infty )$