ASSESSMENT Exponential Equations and Functions

In an exponential function, what does the 'a' represent? 

• SLOPE
• RATE OF CHANGE
• Y-INTERCEPT
• COMMON RATIO

Tags

CCSS.HSF.LE.B.5

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth
• Exponential Decay
• Linear
• None

Tags

CCSS.HSF-IF.C.7E

Is this exponential growth or decay?

• Growth
• Decay

Tags

CCSS.HSF-IF.C.7E

What type of function is f(x)=2(1/7)^x ?

• Exponential Growth
• Linear
• Exponential Decay
• None of the Abovee

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

What type of function is y = 7(5/4)^x?

• Exponential Growth
• Exponential Decay
• Linear
• None of the above

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

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

For  $f\left(x\right)=4\cdot3^x$ , all of the following are true EXCEPT:

• y-intercept: (0, 1)

• End Behavior: Left approaches 0, Right Approaches  $\infty$ 

• Domain:  $\left(-\infty,\infty\right)$ 

• Range:  $\left(0,\infty\right)$  

For  $f\left(x\right)=\left(\frac{1}{2}\right)^x$  , all are true EXCEPT: 

• y-intercept: (0,1)

• End Behavior: Left approaches 0, Right approaches  $\infty$  

• Domain:  $\left(-\infty,\infty\right)$  

• Range:  $\left(0,\infty\right)$  

Write the exponential equation for the situation.

A family bought a house 10 years ago. Since that time, the value of the real estate in the neighborhood has declined 3% per year. If you initially paid $179,000 for their house, write an equation to model the value of the house after x years.

• $A=179,000\left(1.03\right)^x$

• $A=179,000\left(3\right)^x$

• $A=179,000\left(.97\right)^x$

• $A=179,000\left(\frac{1}{3}\right)^x$

Sovle for x:
5^{-3x - 1} = 25

• x = -1
• x = -4
• x = -3
• x = 1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.4