Algebra 2 Chapter 1 Unit Test

Front

What is a function family?

Back

A function family is a group of functions that share common characteristics and can be represented by similar equations or graphs.

Front

What are the main types of function families?

Back

The main types of function families include linear, quadratic, exponential, and logarithmic functions.

Front

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

Back

An exponential function will show a constant ratio between consecutive outputs when the inputs are evenly spaced.

Tags

CCSS.HSF-LE.A.1A

Front

What is the general form of an exponential function?

Back

The general form of an exponential function is f(x) = a * b^x, where a is a constant and b is the base of the exponential.

Front

What is the significance of the base in an exponential function?

Back

The base determines the rate of growth or decay of the function; if b > 1, the function grows, and if 0 < b < 1, the function decays.

Tags

CCSS.HSF-IF.C.8B

Front

How do you determine the number of white squares needed in a pattern problem?

Back

You can determine the number of white squares by creating a table that shows the relationship between the total number of squares and the number of white squares.

Tags

CCSS.6.EE.B.6

Front

What is the process for expanding the expression (2n+1)(n+3)-4?

Back

To expand the expression, use the distributive property to multiply the terms and then simplify the result.

Tags

CCSS.HSA.APR.A.1

Front

What is the difference between linear and exponential functions?

Back

Linear functions have a constant rate of change, while exponential functions have a variable rate of change that increases or decreases multiplicatively.

Front

How can you represent a function graphically?

Back

A function can be represented graphically by plotting its input-output pairs on a coordinate plane.

Front

What is the importance of understanding function families in algebra?

Back

Understanding function families helps in recognizing patterns, solving equations, and applying functions to real-world problems.