Semester 2 Final IM1

Front

What is the exponential function for a savings account that starts with $400 and gains 3% every year?

Back

f(x)=400(1+0.03)^{x}

Front

Which point is NOT part of the solution set: (0, 0), (5, 1), (-1, -3), (20, -5)?

Back

(-1, -3)

Front

What is the general form of an exponential function?

Back

f(x) = a(1 + r)^{x}, where a is the initial amount and r is the rate of growth.

Front

What does SSS stand for in triangle congruence?

Back

Side-Side-Side; it states that if three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.

Front

What does it mean if a bank account balance function is increasing?

Back

The balance is growing over time, indicating positive growth.

Front

What is the formula for compound interest?

Back

A = P(1 + r/n)^{nt}, where A is the amount, P is the principal, r is the rate, n is the number of times interest is compounded per year, and t is the time in years.

Front

What is the difference between linear and exponential growth?

Back

Linear growth increases by a constant amount, while exponential growth increases by a constant percentage.

Front

What does the term 'congruent triangles' mean?

Back

Triangles that are identical in shape and size, having equal corresponding sides and angles.

Front

What is the formula for the balance in a bank account that grows at a rate of 2.5% annually?

Back

b(x) = 850(1.025)^{x}

Front

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

Back

The base determines the rate of growth or decay; a base greater than 1 indicates growth.