COMPARING FUNCTIONS

Given the table, determine the equation of the function.

• y = (x+3)² + 8
• y = -(x+3)² + 8
• y = (x-3)² + 8
• y = -(x-3)² - 8

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSF.IF.B.4

Consider the functions  $f\left(x\right)=3+10x$  ,  $g\left(x\right)=2^x$   and  $h\left(x\right)=5x^2$ .

Which function will have the greatest output when x=0

•  $f\left(x\right)$  

•  $g\left(x\right)$  

•  $h\left(x\right)$  

Aaron can select between the following two payment plans.

Payment Plan 1: Aaron will get paid $10 the first week and each subsequent week the amount he gets paid will increase by $5.

Payment Plan 2: Aaron will get paid $10 the first week and each subsequent week the amount he gets paid will increase by 5%.

Which plan will eventually pay Aaron more money each week?

• Payment Plan 1

• Payment Plan 2

If f(x)=6x²-4,
what is f(-1)?

• -2
• 13
• 2
• 0

Tags

CCSS.HSF.IF.A.2

Given f(x) = -4x - 10 and f(x) = 10. Find x

• x = -5
• x = 5
• x = -50
• x = 30

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.REI.D.11

Using the parent function f(x) = -2(1.5)^x, which function describes a transformation of f(x) moving down 2 units?

• f(x) = -2(1.5)^x + 2

• f(x) = -2(1.5)^x - 2

• f(x) = -2*2(1.5)^x

• f(x) = 1.5(-4)^x

Which FUNCTION describes the transformation of shifting f(x)=x² two units right?

• f(x)= x² + 2

• f(x)= x² - 2

• f(x)= (x + 2)²

• f(x)= (x - 2)²

Which function correspond to the graph?

• $y=-\left(\frac{1}{4}\right)^x-2$

• $y=4^x-2$

• $y=-4^x-2$

• $y=\left(\frac{1}{4}\right)^x-2$

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

• f(x)=400(1+3)^x
• f(x)=400(1-0.03)^x
• f(x)=400(1+0.03)^x
• f(x)=400(0.03)^x

Tags

CCSS.HSF.LE.A.2

The amount of ants in a colony, f, that is decaying can be modeled by                      f(x) = 800(.87)^x, where x is the number of days since the decay started. By what percentage is the colony decaying?

• 87%
• 13%
• 800%
• 8.7%

Tags

CCSS.HSF-IF.C.8B