Exam 1: Graphs, Functions, and Models

Find the midpoint of the segment having the given endpoints. - $\left( \frac { 9 } { 2 } , - \frac { 11 } { 2 } \right) \text { and } \left( \frac { 7 } { 2 } , \frac { 3 } { 2 } \right)$ A) (256,64) B) (4,-2) c) $\left( \frac { 1 } { 2 } , - \frac { 7 } { 2 } \right)$ D) (4,196)

Solve the problem using your calculator. -Two separate tests are designed to measure a student's ability to solve problems. Several students are randomly selected to take both tests and the results are shown below. Use a graphing calculator to model the data with a linear function that predicts a student's score on Test B as a function of his or her score on Test A. Test A 48 52 58 44 43 43 40 51 59 Test B 73 67 73 59 58 56 58 64 74 A) y=-19.4-0.930x B) y=19.4+0.930x C) y=-0.930+19.4x D) y=0.930-19.4x

Graph the circle using the given equation. - A) B) C) D)

Find the domain and range of the function represented in the graph. - A) Domain: $( - \infty , 4 ]$ Range: [0,3] B) Domain: [-3,0] ; Range: [-0,4] C) Domain: [-0,4] ; Range: [-3,0] D) Domain: [0,3] ; Range: $( - \infty , 4 ]$

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. Find F as a linear function of c, And use this function to convert 27° C to °F.

Graph the equation using the slope and the y-intercept. -f(x) = 3x+2 A) B) C) D)

Graph the circle using the given equation. - $( x - 3 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 25$ A) B) C) D)

Solve the problem. -A car rental company has two rental rates. Rate 1 is $63 per day plus $.18 per mile. Rate 2 is $126 per day plus $.09 per mile. If you plan to rent for one day, how many miles would you need to Drive to pay less by taking Rate 2?

Tell whether or not the relation is a function. -{(-3,9), (-1,4), (2,-6), (6,-9)}

Determine the domain and range of the relation. - $\{ ( 3,4 ) , ( 12 , - 1 ) , ( - 4,6 ) , ( 10 , - 9 ) \}$ A) Domain: {10,-4,12,3} ; Range: {-9,-4,6,-1,4} B) Domain: {10,-4,12,3} ; Range: {-9,6,-1,4} C) Domain {10,-4,12,3} ; Range: {-9,-9,6,-1,4} D) Domain: {-9,6,-1,4} ; Range: {10,-4,12,3}

Determine whether the pair of lines is parallel, perpendicular, or neither. - y=6-0.75x y=-x-6 A) Parallel B) Perpendicular C) Neither

Find the domain of the function. - $f ( x ) = \frac { 3 } { x ^ { 2 } }$ A) $\{ x \mid x < 2 \} , \text { or } ( - \infty , 2 )$ B) $\{ x \mid x > 3 \} , \text { or } ( 3 , \infty )$ C) all real numbers, or $( - \infty , \infty )$ D) $\{ x \mid x \neq 0 \} \text {, or } ( - \infty , 0 ) \cup ( 0 , \infty )$

Evaluate as requested. -A graph of a function g is shown below. Find g(-0.8). A) 3.168 B) 3 C) 4.238 D) -2.5

Find the zero of the linear function. -f(x)= 18 + x

Solve the problem. -A survey of 7136 first-time vacationers showed that 80% more vacationers took their vacation in their own country rather than travel abroad. How many vacationers in the sample took their Vacation abroad?

Is the following correspondence a function? - A)Yes B)No

Solve the problem. -A car rental company charges $26 per day to rent a particular type of car and $0.16 per mile. Juan is charged $42.48 for a one-day rental. How many miles did he drive?

Write a slope-intercept equation for a line with the given characteristics. -m = 0; passes through (7, 5)

Solve the problem. -If an object is dropped from a tower, then the velocity, V (in feet per second), of the object after t seconds can be obtained by multiplying t by 32 and adding 10 to the result. Find V as a linear Function of t, and use this function to evaluate V(6.6), the velocity of the object at time T = 6.6 seconds.

Find the distance between the pair of points. Give an exact answer, and where appropriate, an approximation to three decimal places. - $\left( - \frac { 5 } { 8 } , 1 \right) \text { and } \left( - \frac { 5 } { 8 } , \frac { 1 } { 2 } \right)$ A) $\frac { 9 } { 4 }$ B) $\frac { 1 } { 2 }$ C) $\frac { 5 } { 2 }$ D) $\frac { 3 } { 2 }$