Exponential Equations and Functions

The video tutorial explains how to write the equation of an exponential function given two points. It covers solving for the constants A and B, using examples with and without a given Y-intercept. The tutorial includes practice problems to reinforce the concepts and guides viewers through the process of setting up and solving exponential equations.

What is the first step in writing the equation of an exponential function given two points?

• Solve for 'a' and 'b'

• Plot the points on a graph

• Identify the y-intercept

• Check if the function is linear

What indicates that a function is an exponential growth function?

• The 'a' value is negative

• The 'b' value is greater than one

• The 'a' value is greater than one

• The 'b' value is less than one

How do you solve for 'a' when given the point (0, 3)?

• Set 'a' equal to 0

• Set 'a' equal to 3

• Set 'a' equal to 1

• Set 'a' equal to the cube root of 3

What is the next step after finding 'a' in the equation y = a * b^x?

• Find the y-intercept

• Substitute 'a' into the second equation

• Graph the function

• Solve for 'x'

What is the value of 'b' if 8 = b^3?

• 4

• 3

• 2

• 1

What is the exponential equation formed with a = 3 and b = 2?

• y = 2 * x^3

• y = 3 * 2^x

• y = 3 * x^2

• y = 2 * 3^x

What should you do after solving the practice problem with points (0, 16) and (2, 1)?

• Continue watching the video

• Rewatch the previous section

• Solve another problem

• Take a break

How do you start writing an exponential equation without a given y-intercept?

• Use a graphing calculator

• Guess the y-intercept

• Use the given points to form equations

• Assume the y-intercept is zero

What is the first step in solving for 'a' and 'b' without a y-intercept?

• Add the equations together

• Subtract the equations

• Multiply each equation by b^2

• Divide each equation by b^2

What is the value of 'b' if b^2 = 4?

• 4

• 3

• 2

• 1