Understanding functions

• Exponential Functions NEVER exceed Linear Functions

• Exponential Functions ALWAYS exceed Linear Functions

• The linear function exceeds the exponential function over the interval [0, 6]

• The exponential function exceeds the Linear functions over the interval [5, 6]

Function A is represented by the equation.

 $y=\frac{2}{3}x+5$  

Function B is represented by the graph.

Which function has the greater rate of change?

• Function A

• Function B

• Neither. They have the same rate of change.

• There is not enough information to answer this question.

Which has the greater y-intercept?

• A

• B

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. If I am going to buy 1 console and 7 games for it which would cost more? The deal for the Xbox One or the deal for the Playstation 4? How much would I spend for the better deal? 

• Xbox One; $320.00
• Xbox One; $318.00
• Playstation 4; $315.00 
• Playstation 4; $318.00

What is a difference between an exponential equation and linear equation

• Exponentials have an asymptote and linear doesn't

• Exponentials have a vertex and linear doesnt

• They both have an asymptote

• Exponentials have an asymptote but linear has a vertex

The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Which service is cheaper for 8 movies in one month?

• Beth's service ($38 vs. $40) is cheaper
• Nate’s service ($42 vs. $44) is cheaper
• Nate’s service ($38 vs. $40) is cheaper
• Beth's service ($42 vs. $44) is cheaper

How would you describe the rate of change of these functions?

• Both functions have constant rate of change because they are exponential.

• Both functions have a variable rate of change because they are both exponential.

• A has a constant rate of change because it is linear and B has a variable rate of change because it's exponential

• A has a constant rate of change because it is quadratic and B has a variable rate of change because it's exponential

Which kitten was fatter when it was born?

• A

• B

• The graph

• The equation

• Their y-intercepts are equal

Determine and compare the y-intercepts for these two jobs **Hint remember to find your zero point

• Fireplace: $3.00 Neighborhood: $43.00- Neighborhood has a higher base pay by 40.00

• Fireplace: $34.00 Neighborhood: $38.00- Neighborhood has a higher base pay by 4.00

• Fireplace: 34.00 Neighborhood: 43.00- Neighborhood has a higher base pay by 9.00