Algebra 1 EOC 2019 Reporting Category 5 Challenge

This video tutorial covers problems from the 2019 Algebra One EOC for Texas, focusing on exponential equations and functions. It provides strategies for solving various problems, including graphing exponential functions, understanding compound interest, finding y-intercepts, matching tables to functions, and determining domains. The video emphasizes using graphing calculators to visualize and solve problems effectively.

What is a good strategy when you encounter a function notation in a problem?

• Substitute the function notation with 'y' and graph it.

• Ignore the function notation as it is not important.

• Memorize the function for the test.

• Only focus on the coefficients in the function.

What indicates an exponential growth in a function?

• The function has a linear growth rate.

• The base of the exponential function is greater than one.

• The base of the exponential function is less than one.

• The exponent is a negative number.

What is the rate of growth in a bank account that earns annual compound interest modeled by the function b(x) = 850(1.025)^x?

• 5%

• 2.5%

• 25%

• 0.25%

In the context of an exponential function, what does a base greater than 1 indicate?

• Exponential decay

• Exponential growth

• Linear growth

• No growth

How can you determine the y-intercept of an exponential function from its equation?

• It is the exponent's base.

• It is the coefficient of the x term.

• It is the constant term in the equation.

• It is the coefficient before the exponential term.

What does the y-intercept represent in the context of an exponential function graph?

• The slope of the function.

• The rate of growth or decay.

• The maximum value of the function.

• The initial value of the function.

How do you find the y-intercept on a graph of an exponential function?

• It's where the graph crosses the x-axis.

• It's the highest point on the graph.

• It's where the graph crosses the y-axis.

• It's the lowest point on the graph.

How can you verify if a function correctly represents a set of points on a graph?

• By calculating the derivative of the function.

• By plotting the function and comparing it to the given points.

• By checking if the function passes through all the x-values.

• By solving the function for zero.

What characteristic of a graph indicates exponential decay?

• The graph is a straight line.

• The graph slopes downwards from left to right.

• The graph slopes upwards from left to right.

• The graph has a constant slope.

What does the domain of a function represent?

• The slope of the function.

• The range of y-values the function can take.

• The maximum value of the function.

• The range of x-values for which the function is defined.