Comparing Characteristics of Linear, Quadratic, and Exponential

Identify the type of function: f(x) = 3x + 2

• Exponential function

• Quadratic function

• Linear function

• Logarithmic function

Identify the type of function: h(x) = 2^x

• Quadratic function

• Logarithmic function

• Exponential function

• Linear function

What are the key characteristics of a quadratic function?

• Parabolic shape, degree of 2, general form of y = ax^2 + bx + c

• Cubic shape, degree of 2, general form of y = ax^2 + bx + c

• Exponential shape, degree of 2, general form of y = ab^x

• Linear shape, degree of 3, general form of y = ax^3 + bx^2 + cx + d

What are the key characteristics of an exponential function?

• The key characteristics of an exponential function are that it grows at an increasing rate and never crosses the x-axis.

• The key characteristics of an exponential function are that it shrinks at an increasing rate and never crosses the x-axis.

• The key characteristics of an exponential function are that it grows at a constant rate and never crosses the x-axis.

• The key characteristics of an exponential function are that it grows at a decreasing rate and always crosses the x-axis.

• What characteristics do linear, quadratic and exponential functions have alike and different?

Use complete sentences.

What characteristics do linear, quadratic and exponential functions have in common. (3 min)

Select all that apply.

• (possible)

  y-intercept

• (possible)

  x-intercept

• axis of symmetry

• horizontal asymptote

• Vertex

What characteristics do linear, quadratic and exponential functions have in common. (3 min) Select all that apply.

• (possible)

  y-intercept

• (possible)

  x-intercept

• axis of symmetry

• horizontal asymptote

• Vertex

Select the all statements below that are TRUE.

• C is DECREASING LINEAR

• B is EXPONENTIAL DECAY

• C has CONSTANT RATE OF CHANGE

• A has VARIABLE RATE OF CHANGE

Select the true statements.

• Function A is linear.

• Function B is exponential.

• Both functions have a y-intercept of 1

• Both functions approach zero as x increases.

• Function A has an x-intercept at (1, 0).

In the table, function 1 is

• Linear

• Quadratic

• Exponential