Advanced Math Post Test 1 Review 24/25

Front

What is the range of the function if y > 1?

Back

The range is all values of y that are greater than 1.

Front

According to logarithmic properties, what does e^{ln x} equal?

Back

e^{ln x} = x, which is True.

Front

What is the end behavior of a function if as x approaches -∞, f(x) approaches -∞?

Back

As x approaches -∞, f(x) approaches -∞.

Front

How many roots or zeros does the polynomial f(x) = 5x^4 - 8x^3 + 4x^2 - 6x + 3 have?

Back

The polynomial has 4 roots or zeros.

Front

What is the equation of the horizontal asymptote for g(x) = \frac{x^2 + 8x - 7}{x - 7}?

Back

There are no horizontal asymptotes.

Front

Define a polynomial function.

Back

A polynomial function is a function that can be expressed in the form f(x) = a_n*x^n + a_{n-1}*x^{n-1} + ... + a_1*x + a_0, where a_n, a_{n-1}, ..., a_0 are constants.

Front

What is the degree of the polynomial f(x) = 5x^4 - 8x^3 + 4x^2 - 6x + 3?

Back

The degree of the polynomial is 4.

Front

What does it mean for a function to have a horizontal asymptote?

Back

A horizontal asymptote indicates the value that a function approaches as x approaches ±∞.

Front

What is the significance of the leading coefficient in a polynomial?

Back

The leading coefficient determines the end behavior of the polynomial function.

Front

What is the difference between a root and a zero of a function?

Back

A root is a solution to the equation f(x) = 0, while a zero is the x-value at which the function equals zero.