Exam 1: Graphs, Functions, and Models

Solve the problem using your calculator. -A study was conducted to compare the average time spent in the lab each week versus course grade for computer students. The results are recorded in the table below. Use a graphing calculator To model the data with a linear function that predicts a student's course grade as a function of the Number of hours spent in lab. Number of hours spent in lab Grade (percent) 10 96 11 51 16 62 9 58 7 89 15 81 16 46 10 51 A) y=88.6-1.86 x B) y=1.86+88.6 x C) y=0.930+44.3 x D) y=44.3+0.930x

Answer the question. -The points (-6, 3)and (6, 5)are the points at which the diagonal of a square intersects the square. What are the coordinates of the center of the square?

The following table contains input-output values for a function. Is this function linear? - 4 15 7 48 10 99 13 168 16 255 19 360 22 483 A) Yes B) No

Solve the problem. -To convert a temperature from degrees Celsius to degrees Fahrenheit, you multiply the temperature in degrees Celsius by 1.8 and then add 32 to the result. Express F as a linear function of A) F(c)= 33.8c B) $F ( c ) = \frac { c - 32 } { 1.8 }$ C) F(c)=1.8c+32 D) F(c)=1.8+32c

Determine whether the pair of lines is parallel, perpendicular, or neither. -6x+2 y=8 18 x+6 y=28 A) Parallel B) Perpendicular C) Neither

Find the intercepts and then graph the line. - A) x-intercept: (1, 0); y-intercept: (0, 2) B) x-intercept: (1, 0); y-intercept: (0, -2) C) x-intercept: (-1, 0); y-intercept: (0, 2) D) x-intercept: (-1, 0); y-intercept: (0, -2)

Plot the two points given by the ordered pairs. -A(2, 6), B(5, -6) A) B) C) D)

Find the slope and the y-intercept of the line with the given equation. -7x +9 y=80 A) $- 1 \frac { 2 } { 7 } ; \left( 0 , \frac { 9 } { 80 } \right)$ B) $- \frac { 7 } { 9 } ; \left( 0 , \frac { 80 } { 9 } \right)$ C) $\frac { 7 } { 9 } ; \left( 0 , \frac { 80 } { 9 } \right)$ D) $1 \frac { 2 } { 7 } ; \left( 0 , \frac { 9 } { 80 } \right)$

Find an equation for the circle. -The points (5,7),(6,4),(8,8) , and (9,5) are vertices of an inscribed square. A) $( x - 7 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = \sqrt { 5 }$ B) $( x - 7 ) ^ { 2 } + ( y - 6 ) ^ { 2 } = 5$ C) $( x + 7 ) ^ { 2 } + ( y + 6 ) ^ { 2 } = 5$ D) $( x - 7 ) ^ { 2 } - ( y - 6 ) ^ { 2 } = \sqrt { 5 }$

Find the domain and range of the function represented in the graph. - A) Domain: [-5,0] ; Range: [0,5) B) Domain: [0,5] ; Range: [0,5] C) Domain: (0,5] ; Range: $( - 5 , \infty )$ D) Domain: (0,5) ; Range: (0,5)

Find the midpoint of the segment having the given endpoints. -(7, 1) and (-16,-16) A) $\left( \frac { 23 } { 2 } , \frac { 17 } { 2 } \right)$ B) (-9,-15) C) (9,15) D) $\left( - \frac { 9 } { 2 } , - \frac { 15 } { 2 } \right)$

Plot the two points given by the ordered pairs. -A(-1, 0), B(-2, 5) A) B) C) D)

Solve the problem. -Find the average rate of change. A)$4.00per year B)-$3.00per year C)-$4.00per year D)$3.00per year

Find the domain of the function. - $f ( x ) = \frac { 6 } { x + 6 }$ A) $\{ x \mid x \neq 0 \} , \text { or } ( - \infty , 0 ) \cup ( 0 , \infty )$ B) $\{ x \mid x \neq - 6 \} \text {, or } ( - \infty , - 6 ) \cup ( - 6 , \infty )$ C) all real numbers, or $( - \infty , \infty )$ D) $\{ x \mid x < 6 \} , \text { or } ( - \infty , 6 )$

Determine whether the graph is the graph of a function. - A) Yes B) No

Solve the equation. -3(4 x+1)=5-5(4 x-3) A) $- \frac { 5 } { 32 }$ B) $\frac { 5 } { 32 }$ C) $\frac { 17 } { 32 }$ D) 17

Solve the problem. -Company A rents copiers for a monthly charge of $90 plus 6 cents per copy. Company B rents copiers for a monthly charge of $180 plus 3 cents per copy. What is the number of copies above Which Company A's charges are the higher of the two?

Evaluate as requested. -A graph of a function g is shown below. Find g(-2). A) 2 B) -1 C) 1 D) -2

Evaluate as requested. -Given that $f ( x ) = \frac { x } { 11 - x } , \text { find } f \left( - \frac { 2 } { 5 } \right)$ A) $\frac { 2 } { 57 }$ B) $- \frac { 2 } { 57 }$ C) $- \frac { 57 } { 2 }$ D) $\frac { 57 } { 2 }$

Solve the problem. -Last year, 302 million music CDs were purchased by 112 million households in the United States. On average, how many CDs were purchased in each household?