PRE-CAL REVIEW UNIT 1 FLASHCARD 1 LESSONS 1-3

Front

What is the domain of an exponential function graphed on a grid?

Back

The domain is the set of all possible input values (x-values) for the function. For example, if part of the graph is shown for x ≥ -2, then the domain is x ≥ -2.

Front

How can you determine if a graph represents a function?

Back

A graph represents a function if every x-value has exactly one corresponding y-value. This can be checked using the vertical line test.

Front

How do you write a linear equation in function notation?

Back

A linear equation like y = 2x - 3 can be written in function notation as f(x) = 2x - 3.

Front

What does it mean to solve f(x) = 0 using a graph?

Back

Solving f(x) = 0 means finding the x-values where the graph intersects the x-axis. These points are the roots or zeros of the function.

Front

What does it mean for a graph to be concave down?

Back

A graph is concave down when it curves downward, indicating that the slope of the tangent line is decreasing.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) that a function can produce.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input (x-value) is associated with exactly one output (y-value).

Front

What is an exponential function?

Back

An exponential function is a mathematical 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.

Front

What is the significance of the x-intercept in a graph?

Back

The x-intercept is the point where the graph crosses the x-axis, indicating the value of x when f(x) = 0.

Front

How do you find the intervals where a function is increasing or decreasing?

Back

To find intervals of increase or decrease, analyze the slope of the function: if the slope is positive, the function is increasing; if negative, it is decreasing.