Exploring Adding and Subtracting Rational Expressions

What is the standard form of a linear equation?

• y = ax^2 + bx + c

• y = mx + b

• y = ax + by = c

• y = a(b^x)

If the coefficient 'a' in a quadratic equation is positive, what shape does the graph form?

• Straight line

• Exponential curve

• Upward parabola

• Downward parabola

What indicates an exponential growth in an exponential function?

• Coefficient 'b' equals 0

• Coefficient 'b' less than 1

• Coefficient 'b' greater than 1

• Negative coefficient 'a'

Which equation represents a linear function?

• y = 8 - 1/3x

• y = 5^x

• y = 2(1/4)^x

• y = x^2 + 7x + 10

What type of graph is represented by y = 6?

• Linear

• Exponential growth

• Quadratic

• Exponential decay

Which graph type is characterized by a 'smiling' shape?

• Exponential growth

• Exponential decay

• Linear with positive slope

• Quadratic with 'a' positive

What is indicated by a horizontal line on a graph?

• Linear function with zero slope

• Quadratic function

• Linear function with undefined slope

• Exponential function

What does a constant second difference in a table indicate?

• Linear function

• Quadratic function

• Exponential growth

• Exponential decay

In a function table, what does a constant ratio of y-values suggest?

• Exponential decay

• Exponential growth

• Quadratic function

• Linear function

Which scenario describes an exponential decay?

• Multiplying y-values by an integer greater than 1

• Subtracting a constant from y-values

• Adding a constant to x-values

• Multiplying y-values by a fraction