Exam 1: Graphs, Functions, and Models

Determine the slope, if it exists, of the graph of the given linear equation. -y = -4.8x + 3

Is the following correspondence a function? -Domain: All students attending the University of Ohio Correspondence: Each student's teachers Range: A set of teachers

Solve the equation. -3(4 x+6)=2(x+6) A) $- \frac { 3 } { 7 }$ B) $- \frac { 3 } { 5 }$ C) -6 D) 10

Solve and graph the solution set. - $- \frac { 8 } { 5 } x - 2 < - \frac { 25 } { 4 }$ A) $\left\{ x \mid x > \frac { 85 } { 4 } \right\} \text { or } \left( \frac { 85 } { 4 } , \infty \right)$ B) $\left\{ x \mid x < - \frac { 25 } { 4 } \right\} \text { or } \left( - \infty , - \frac { 25 } { 4 } \right)$ C) $\left\{ x \mid x > \frac { 85 } { 32 } \right\} \text { or } \left( \frac { 85 } { 32 } , \infty \right)$ D) $\left\{ x \mid x > - \frac { 25 } { 32 } \right\} \text { or } \left( - \frac { 25 } { 32 } , \infty \right)$

Determine the slope, if it exists, of the graph of the given linear equation. -f(x)=7+2 x A) m=-2 B) m=-7 C) m=7 D) m=2

Find an equation for the circle. -Center at (3,-7) , radius of length $\frac { 3 } { 7 }$ A) $( x - 3 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = \frac { 9 } { 49 }$ в) $( x - 3 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = \frac { 9 } { 49 }$ c) $( x + 3 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = \frac { 49 } { 9 }$ D) $( x + 3 ) ^ { 2 } - ( y + 7 ) ^ { 2 } = 9$

Solve the problem. -The paired data below consist of the costs of advertising (in thousands of dollars)and the number of products sold (in thousands). By using linear regression, the following function is obtained: Y = 55.8 + 2.79x where x is the cost of advertising (in thousands of dollars)and y is number of products sold (in thousands). Use this function to predict the number of products sold if the cost of Advertising is $9000. Cost 9 2 3 4 2 5 9 10 Number 85 52 55 68 67 86 83 73 A) 25,165.8 B) 77.91 C) 80.91 D) 87.61

Find an equation for the circle. -Center at (3,-4) , radius $\sqrt { 15 }$ A) $( x + 3 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 15$ B) $( x + 4 ) ^ { 2 } + ( y - 3 ) ^ { 2 } = 225$ C) $( x - 4 ) ^ { 2 } + ( y + 3 ) ^ { 2 } = 225$ D) $( x - 3 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 15$

Determine the domain and range of the relation. -{(7, 4), (-3, 6), (1, -7), (-5, 9), (4, 8)}

Graph the function. - $f ( x ) = \sqrt { x + 3 }$

Solve the equation. - 4 x+5=0 A) $\frac { 4 } { 5 }$ B) $- \frac { 4 } { 5 }$ C) $- \frac { 5 } { 4 }$ D) $\frac { 5 } { 4 }$

Find the midpoint of the segment having the given endpoints. -(4,0) and (8,6) A) (6,3) B) (-4,-6) C) (12,6) D) (-2,-3)

Solve the problem. -An airplane leaves Los Angeles for Denver at a speed of 430 mph. Thirty minutes later, a plane going from Denver to Los Angeles leaves Denver, which is 850 miles from Los Angeles, at a speed Of 500 mph. When they meet, how far are they from Denver?

Answer the question. -The points (-2,3),(1,6),(3,-2) , and (6,1) are the vertices of a quadrilateral. Is the quadrilateral a rectangle? A) Yes B) No

Find an equation for the circle. -Center at (5, 0), radius 6A) $( x - 5 ) ^ { 2 } + y ^ { 2 } = 36$ B) $x ^ { 2 } + ( y - 5 ) ^ { 2 } = 6$ C) $x ^ { 2 } + ( y + 5 ) ^ { 2 } = 6$ D) $( x + 5 ) ^ { 2 } + y ^ { 2 } = 36$

Determine whether the pair of lines is parallel, perpendicular, or neither. -3x - 4y = 6 8x + 6y = 6

Find the domain and range of the function represented in the graph. -

Find the domain and range of the function represented in the graph. - A) Domain: [-3,3] ; Range: $[ - \pi , 2 \pi ]$ B) Domain: $[ - \pi , 2 \pi ]$ Range: [0,3] C) Domain: $[ - 2 \pi , 2 \pi ]$ Range: [-4,4] D) Domain: $[ - \pi , 2 \pi ]$ : Range: [-3,3]

Solve the equation. - $- 12 y + 4 = - 8 - 12 y$ A) 8 B) 0 C) no solution D) all real numbers

The following table contains input-output values for a function. Is this function linear? - -4 -4 -2 -16 2 -20 2 -16 4 -16 0 -20 2 -16 A) Yes B) No