Comparing Linear, Quadratic and Exponential Quiz

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

• Exponential function

• Quadratic function

• Linear function

• Logarithmic function

Analyze the rate of change in the function: g(x) = x^2 + 5x - 6

• The rate of change in the function g(x) = x^2 + 5x - 6 can be analyzed by finding the derivative of the function.

• The rate of change is equal to the constant term, which is -6

• The rate of change is equal to the coefficient of x^2, which is 1

• The rate of change is constant and equal to 5

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.

Apply a linear function to a real-world scenario.

• Use the equation y = mx + b to represent a non-linear relationship between two variables in a real-world scenario.

• Identify a real-world scenario with a quadratic relationship between two variables and use the equation y = ax^2 + bx + c to represent the relationship.

• Apply a linear function to a real-world scenario by using the equation y = mx^2 + b.

• Identify a real-world scenario with a linear relationship between two variables and use the equation y = mx + b to represent the relationship.

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

• Quadratic function

• Logarithmic function

• Exponential function

• Linear function

Analyze the rate of change in the function: y(x) = -2x^2 + 4x - 1

• y'(x) = -4x + 4

• y'(x) = -2x^2 + 4x - 1

• y'(x) = -2x^2 - 4x - 1

• y'(x) = -4x - 4

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

Apply a quadratic function to a real-world scenario.

• y = ax^2 + bx + c

• y = x^2 - 3x + 7

• y = 3x + 4

• y = 2x^3 + 5x + 1

Identify the type of function: p(x) = 5

• Constant function

• Exponential function

• Linear function

• Quadratic function

Apply an exponential function to a real-world scenario.

• Driving a car

• Population growth

• Cooking a meal

• Building a house