Accelerated 8 Feb 1

Accelerated 8

February 1, 2021

What is a function?

• A function relates an input to an output.

• It is like a machine that has an input and an output and the output is related somehow to the input.

A function is special

A function has special rules

1. It must work for every possible input value

2. It has only one relationship for each input value

Multiple Choice

In each table, x represents the input value and y represents the output value. Which table does NOT represent a function of x?

Multiple Choice

Which set of ordered pairs does NOT represent a function?

• $\left\{\left(1,10\right),\left(3,18\right),\left(5,26\right),\left(7,34\right),\left(9,42\right)\right\}$

• $\left\{\left(2,10\right),\left(3,20\right),\left(4,15\right),\left(5,5\right),\left(6,25\right)\right\}$

• $\left\{\left(0,8\right),\left(5,4\right),\left(10,0\right),\left(15,4\right),\left(20,8\right)\right\}$

• $\left\{\left(9,1\right),\left(6,2\right),\left(3,3\right),\left(6,4\right),\left(9,5\right)\right\}$

Multiple Choice

In which set of ordered pairs is y a function of x?

• $\left\{\left(3,1\right),\left(4,5\right),\left(3,2\right),\left(4,8\right)\right\}$

• $\left\{\left(2,5\right),\left(1,7\right),\left(0,2\right),\left(1,10\right)\right\}$

• $\left\{\left(2,-4\right),\left(5,-4\right),\left(7,4\right),\left(10,4\right)\right\}$

• $\left\{\left(-3,2\right),\left(3,-2\right),\left(3,2\right),\left(-3,-2\right)\right\}$

Multiple Choice

Sophie and Leah are each selling lemonade to earn money. The table shows how much profit Sophie earns based on the number of cups of lemonade sold. Leah calculates her profit using the formula

 $y=0.75x-15$  where x represents the number of cups of lemonade sold and y represents the total profit. Which statement is true if Leah and Sophie each sell 50 cups of lemonade?

• Leah's profit is $7.50 more than Sophie's profit.

• Sophie's profit is $7.50 more than Leah's profit.

• Leah's profit is $12.50 more than Sophie's profit. 
  

• Sophie's profit is $12.50 more than Leah's profit. 

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