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Pre-Calculus Worksheet: Identifying Functions and Equations, Slides of Pre-Calculus

A pre-calculus worksheet consisting of 10 questions designed to help students identify functions represented by graphs, determine domains, and solve equation systems. The questions cover topics such as identifying functions, domain of functions, quadratic equations, and inverse relationships.

Typology: Slides

2021/2022

Uploaded on 09/12/2022

koss
koss 🇺🇸

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EOC$Worksheet$#1$ $ $ $ $ $ $ $ Name$_________________$
1)$ Which$graph$represents$a$function?$
A)$ $ $ $ B)$ $ $ $ C)$$$$D)$
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2)$ A$function$is$graph.$$What$is$the$domain$of$this$function?$
$A)$$B3$<$y$<$3$ $ B)$$B4$<$y$<$4$ $
$C)$$B3$<$x$<$3$ $ D)$$B4$<$x$<$4$
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3)$ Let$x$be$any$real$number.$$Then$the$statement$x³$>$0$is$true$for$
$ A)$$x$>$0$only$ $ B)$$x$<$0$only$ $ $ C)$$no$values$of$x$ D)$$all$real$values$of$x$ $
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4)$ Which$expression$is$equivalent$to$ (2x$–$5)$–$(3x$–$8)$
$A)$$Bx$–$13$ $ B)$$Bx$+$3$ $ $ C)$$2x$–$16$ $ D)$$5x$–$3$
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$
5)$Which$of$the$following$situations$is$best$represented$by$a$linear$function?$
$ A)$$The$amount$Jeremy$tips$at$a$restaurant$is$a$function$of$the$total$bill.$$He$tips$15%$of$the$total$bill$
$ B)$$The$area$of$a$square$is$a$function$of$the$length$of$the$side$of$the$square$
$ C)$$The$distance$a$ball$travels$after$being$dropped$is$a$function$of$acceleration$and$time$
$$$$$$$The$distance$is$oneBhalf$of$the$acceleration$multiplied$by$the$square$of$the$time$
$$ D)$$The$length$of$the$side$of$a$rectangle$with$an$area$of$48$is$a$function$of$the$width$of$the$rectangle$
$
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EOC Worksheet #1 Name _________________

  1. Which graph represents a function? A) B) C) D)
  2. A function is graph. What is the domain of this function? A) -­‐3 < y < 3 B) -­‐ 4 < y < 4 C) -­‐ 3 < x < 3 D) -­‐ 4 < x < 4
  3. Let x be any real number. Then the statement x³ > 0 is true for A) x > 0 only B) x < 0 only C) no values of x D) all real values of x
  4. Which expression is equivalent to (2x – 5) – (3x – 8) A) -­‐x – 13 B) -­‐x + 3 C) 2x – 16 D) 5x – 3
  5. Which of the following situations is best represented by a linear function? A) The amount Jeremy tips at a restaurant is a function of the total bill. He tips 15% of the total bill B) The area of a square is a function of the length of the side of the square C) The distance a ball travels after being dropped is a function of acceleration and time The distance is one-­‐half of the acceleration multiplied by the square of the time D) The length of the side of a rectangle with an area of 48 is a function of the width of the rectangle
  1. Which equation represents the line passing through the points (-­‐2, 4) and (2, 8)? A) y = -­‐x + 2 B) y = -­‐x + 6 C) y = x + 4 D) y = x + 6
  2. The cost of renting a table at a flea market is based on a fixed price per day plus an initial registration fee. If it costs $45 to rent a table for one day and a total of $90 to rent a table for four days, which of the following equations represents the total cost (c) to rent a table at the flea market for d days? A) c = 15(d + 30) B) c = 15d + 30 C) c = 15d + 45 D) c = 15(d + 45)
  3. A tour boat leaves the dock and travels to the wildlife park at 7 miles per hour (mph) for x hours. The return trip to the dock takes y hours at 15 mph. The boat ride takes a total of 3 hours. Which system of equations best represents this situation? A) x + y = 3 B) x = y C) x + y = 3 D) x = y 7x = 15y 7x = 15y 7x + 15y = 3 7x = 15y
  4. Each graph below represents an equation of the form y = ax². Which graph represents the equation with the greatest value for a?
  5. In a function, y varies inversely as x varies. If y = 15 when x = 12, what is the value of y when x = 3? A) 1.25 B) 3.75 C) 45.00 D) 60.