Chapter 7. Properties of Elementary Functions

What does this graph represent?

• Exponential Function with general equation $f\left(x\right)=a.b^x$ , a>0, 0<b<1
  

• Exponential Function with general equation $f\left(x\right)=a.b^x$ , a<0, b>0
  

• Exponential Function with general equation $f\left(x\right)=a.x^b$ , a>0, 0<b<1

• Exponential Function with general equation $f\left(x\right)=a.b^x$ , a<0, 0<b<1

What type of function and the general equation of the given graph?

• Power function,  $f\left(x\right)=a.x^b$  , a>0, 0<b<1
  

• Power function,  $f\left(x\right)=a.x^b$  , a>0, b<0

• Quadratic function,  $f\left(x\right)=ax^2+bx+c$  , a<0, b>0, c>0
  

• Exponential function,  $f\left(x\right)=a.b^x$  , a>0, b<0
  

Describe the given graph. You may choose more than one.

• Linear function, $f\left(x\right)=ax+b$

• Exponential function, $f\left(x\right)=a.b^x$
  

• a>0, b>0
  

• a<0, b>0
  

• a<0, b<0
  

Describe the properties of the given graph.

• Quadratic function, $f\left(x\right)=ax^2+bx+c$ , a>0, $b^2-4ac<0$ , c >0
  

• Quadratic function, $f\left(x\right)=ax^2+bx+c$ , a>0, $b^2-4ac>0$ , c >0

• Quadratic function, $f\left(x\right)=ax^2+bx+c$ , a<0, $b^2-4ac>0$ , c >0

• Quadratic function, $f\left(x\right)=ax^2+bx+c$ , a<0, $b^2-4ac<0$ , c <0

King Kong is depicted as having the same proportions as a normal gorilla but as being 8 times as tall. If a normal gorilla weighs 500lb, what would you expect King Kong to weigh? The weight, thus the volume of similarly creature is directly proportional to the cube of the length.

• 32,000 lb

• 4000 lb

• 256,000 lb

• None of these answers

Dan and Don are siblings. The ratio weigh of Dan to Don is 27:8. The weight, thus the volume of siblings is directly proportional to the cube of the length. One fine day, they decide to make twin clothes. The fabric needed to made a cloth for Dan is 4.5 square meter. The fabric needed to made a cloth for Don will be .... square meter.

Which of these statement(s) is/are correct? You can choose more than one.

• Exponential function has multiply-multiply property

• Power function has add-multiply property

• Quadratic functions has add-add property

• The general equation for exponential function is $f\left(x\right)=a.x^b$

• none of these answers are correct

Look at the given table. Identify the pattern/property of the function.

• Exponential function, with add-add property
  

• Exponential function, with add-multiply property
  

• Power function, with multiply-multiply property
  

• Power function, with multiply-add property
  

• Exponential function, with multiply-add property
  

Look at the given table. Identify the pattern/property of the function and find the particular equation of the function (such as $ax+b,\ a.b^x,\ or\ a.x^b$ ). Given that a and b are positive numbers. What is a+b?

Look at the given table. Identify the pattern/property of the function.

• Exponential function, with add-add property
  

• Exponential function, with add-multiply property
  

• Power function, with multiply-multiply property
  

• Power function, with multiply-add property
  

• Exponential function, with multiply-add property