Notebook Check: Exponential Functions

What is an exponential function?

• A mathematical function of the form f(x) = a^x, where 'a' is a negative real number and 'x' is any real number.
• A mathematical function of the form f(x) = a*x, where 'a' is a positive real number and 'x' is any real number.
• • A function having a variable as an exponent

• A mathematical function of the form f(x) = x^a, where 'a' is a positive real number and 'x' is any real number.

What is a horizontal asymptote?

• A horizontal asymptote is a vertical line that a graph approaches but never touches as the x-values increase or decrease.
• A horizontal asymptote is a point where the graph intersects the x-axis.
• A horizontal line y=k that the graph f(x) approaches but never touches

• A horizontal asymptote is a line that the graph touches at multiple points.

What is a y-intercept?

• The y-intercept is the point where the graph crosses the x-axis
• The y-intercept is the same as the slope of the line
• The y-intercept is the highest point on the graph
• • The point where the graph crosses the y-axis (substitute x=0) 

What are the three items you need to sketch an exponential function?

• Calculator, pencil, and eraser
• • Horizontal asymptote, y-intercept

  • and 2 other points

  
  

• Ruler, protractor, and compass
• Graph paper, colored pencils, and straight edge

What is the y-intercept of y=2^x -3?

Hint: What is y when x = 0?

• -2

• 3
• 0
• 5

What is a growth function?

• An exponential function where as x-values increase y-values also increase

• A growth function is a type of computer virus
• A growth function is a type of dance move
• A growth function is a type of plant fertilizer

What is the initial value?

• The initial value is the value assigned to a variable or parameter in the middle of a process or calculation.
• The initial value is the value assigned to a variable or parameter after a process or calculation is completed.
• The starting amount - f(0)

• The initial value is the value assigned to a variable or parameter at the end of a process or calculation.

What is a growth factor?

• The amount the value grows after each x

• A growth factor is a type of financial investment that leads to increased profits
• A growth factor is a type of weather phenomenon that promotes plant growth
• A growth factor is a type of fertilizer used in agriculture

What is the growth factor of: A(n)=100(1.15)^n?

• 1.25
• 1.05
• 1.35
• 1.15

What is a decay factor?

• The amount the value decays after each x

• A decay factor is a variable value used to increase a quantity over time.
• A decay factor is a mathematical operation used to maintain a quantity over time.
• A decay factor is a term used to describe the growth of a quantity over time.