Graphing and Analyzing Functions on the TI-84

The video tutorial explains how to graph functions on a TI-84 calculator, focusing on f(x) = 2^x, g(x) = log base 2 of x, and h(x) = x. It covers entering functions into the calculator, graphing them, and using the table of values to find specific points. The tutorial highlights the symmetry between f(x) and g(x) across the line y = x, demonstrating that they are inverse functions.

What are the three functions that need to be graphed on the TI-84 calculator?

• f(x) = x^2, g(x) = log base 10 of x, h(x) = x

• f(x) = 2^x, g(x) = log base 2 of x, h(x) = x

• f(x) = 3^x, g(x) = log base 3 of x, h(x) = x

• f(x) = x^3, g(x) = log base 5 of x, h(x) = x

How do you enter the function g(x) = log base 2 of x into the TI-84 calculator?

• Use the common log button

• Use the natural log button

• Use the log base feature under the math menu

• Use the exponential function button

What is the purpose of pressing 'zoom' and then '6' on the TI-84 calculator?

• To enter a new function

• To clear the graph

• To adjust the graph to a standard viewing window

• To calculate the derivative

What symmetry is observed between the functions f(x) and g(x)?

• They are symmetrical across the line y = 0

• They are symmetrical across the line y = x

• They are symmetrical across the line x = y

• They are symmetrical across the line x = 0

Which point is found on the function f(x) using the table of values?

• (0, 1)

• (1, 1)

• (1, 0)

• (0, 0)

Which point is found on the function g(x) using the table of values?

• (0, 1)

• (2, 2)

• (1, 0)

• (1, 1)

What is the relationship between the functions f(x) and g(x)?

• They are quadratic functions

• They are identical functions

• They are inverse functions

• They are unrelated functions

How do the x and y values of f(x) and g(x) relate to each other?

• They are doubled in g(x)

• They are halved in f(x)

• They are interchanged between the functions

• They are the same for both functions

What conclusion can be drawn from the symmetry and ordered pairs of f(x) and g(x)?

• They are both linear functions

• They are both exponential functions

• They are both logarithmic functions

• They are inverse functions

What is the graphical relationship between f(x) and g(x) on the coordinate plane?

• They are parallel lines

• They intersect at the origin

• They form a right angle

• They are symmetrical across the line y = x