Linear and Exponent Review

Front

To get rid of a negative exponent you need to...

Back

Find the reciprocal.

Front

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

Back

y = 15x + 80

Front

Simplify with no negative exponents: x^-3

Back

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line, represented by the equation 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 the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0; it is represented by b in the equation.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the equation of a line with a slope of 3 that passes through the point (2, 5)?

Back

y = 3x - 1.

Front

What is the general form of a quadratic function?

Back

The general form of a quadratic function is f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

What does it mean for a function to be exponential?

Back

An exponential function is a function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and x is the exponent.