Exam 1: Graphs, Functions, and Models

Use substitution to determine whether the given ordered pair is a solution of the given equation. - $( 4,3 ) ; x ^ { 2 } + y ^ { 2 } = 25$ A) Yes B) No

Solve the equation. -2(x+3)=3-4(x+3) A) $\frac { 1 } { 6 }$ B) 15 C) $- \frac { 5 } { 2 }$ D) $\frac { 5 } { 2 }$

Solve the problem. -In triangle ABC, angle A is three times as large as angle C. The measure of angle B is 15° less than that of angle C. Find the measure of the angles.

Solve and write interval notation for the solution set. Then graph the solution set. - $- 1 < - 5 x + 4 \leq 19$ A) $[ - 1,3 )$ B) $[ - 3,1 )$ C) $( - 3,1 ]$ D) $( - 1,3 ]$

Graph the function. - $f ( x ) = x ^ { 2 } - 3$ A) B) C) D)

Find the zero of the linear function. -f(x)=4-9 x A) $\frac { 9 } { 4 }$ B) $- \frac { 9 } { 4 }$ C) $\frac { 4 } { 9 }$ D) $- \frac { 4 } { 9 }$

Find the slope of the line. - A) $- \frac { 3 } { 4 }$ B) $\frac { 3 } { 4 }$ C) $- \frac { 4 } { 3 }$ D) $\frac { 4 } { 3 }$

Find the coordinates of the points shown on the graph. - A) A: (4,3), B:(2,3) B) A: (4,2), B:(-3,3) C) A: (2,24), B:(3,-3) D) A: (4,2) , B: (3,-3) 0

Write equations of the horizontal and the vertical lines that pass through the given point. - $\left( - 4 , \frac { 2 } { 5 } \right)$ A) horizontal: $y = - \frac { 2 } { 5 }$ vertical: x=-4 B) horizontal: y=-4 ; vertical: $x = \frac { 2 } { 5 }$ C) horizontal: $y = \frac { 2 } { 5 } x$ vertical: x=-4 y D) horizontal: $y = \frac { 2 } { 5 }$ vertical: x=-4

Find the slope of the line containing the given points. - (9,4) and (5,2) A) $\frac { 1 } { 2 }$ B) 2 C) $- \frac { 1 } { 2 }$ D) $\frac { 3 } { 7 }$

Solve the problem. -The function h described by $h ( t ) = - 16 t ^ { 2 } + 33.1 t + 124.26$ gives the height of a ball thrown upward with a speed of 33.1 feet per second from a 124.26ft high window t seconds after it is thrown until it hits the ground. Find the height of the ball 1.4 seconds after it is thrown.

Solve the problem. -Water accounts for 60% of a man's weight. Stan weighs 174 lb. How much of his body weight is water?

Find the slope of the line. - A) -8 B) $- \frac { 1 } { 8 }$ C) $\frac { 1 } { 8 }$ D) 8

Determine the equation of the line described. Put answer in the slope-intercept form, if possible. -Through (4,-3), paralle to -7 x+9 y=-109 A) $y = \frac { 9 } { 7 } x + \frac { 3 } { 7 }$ B) $y = - \frac { 7 } { 9 } x + \frac { 55 } { 9 }$ C) $y = \frac { 7 } { 9 } x - \frac { 55 } { 9 }$ D) $y = - \frac { 4 } { 9 } x - \frac { 109 } { 9 }$

Find the slope of the line containing the given points. -(-1,7) and (-1,-9) A) 0 B) -8 C) 1 D) not defined

Find the domain of the function. - $f ( x ) = \frac { 8 } { \sqrt { 5 - x } }$ A) $\{ x \mid x \geq - 5 \} , \text { or } [ - 5 , \infty )$ B) $\{ x \mid x \geq 5 \} , \text { or } [ 5 , \infty )$ C) $\{ x \mid x < 5 \} , \text { or } ( - \infty , 5 )$ D) $\{ x \mid x < - 5 \} , \text { or } ( - \infty , - 5 )$

Use the given graph to find the x-intercept and the zero of the function. - A) (1,0); 1 B) (3,0); 3 C) (0,0); 0 D) (3,1); 3

Find the center and radius of the circle. - $( x + 6 ) ^ { 2 } + ( y + 9 ) ^ { 2 } = 1$ A) (-9,-6) ; 1 B) (9,6) ; 1 C) (-6,-9) ; 1 D) (6,9) ; 1

Plot the two points given by the ordered pairs. -A(-4, -4), B(-6, 2) A) B) C) D)

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