Writing Linear, Quadratic, and Exponential Functions S1 Review

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of the function; it indicates how much y changes for a unit change in x.

Front

What is the y-intercept in a linear function?

Back

The y-intercept is the value of y when x is 0. It is the point where the line crosses the y-axis.

Front

How do you write the equation of a linear function given two points?

Back

Use the formula for slope (m = (y2 - y1) / (x2 - x1)) to find the slope, then use the point-slope form (y - y1 = m(x - x1)) to write the equation.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically written in the form y = ax^2 + bx + c, where a, b, and c are constants.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola represented by the quadratic function, depending on the direction it opens.

Front

How can you determine if a quadratic function opens upwards or downwards?

Back

If the coefficient 'a' in the quadratic function y = ax^2 + bx + c is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

What is an exponential function?

Back

An exponential function is a mathematical function of the form y = ab^x, where a is a constant, b is the base (a positive real number), and x is the exponent.

Front

What is the growth factor in an exponential function?

Back

The growth factor is the base 'b' in the function y = ab^x. It determines how much the function increases or decreases as x changes.

Front

How do you identify an exponential function from a table of values?

Back

An exponential function will show a constant ratio between consecutive y-values when the x-values increase by the same amount.