HA2 Sem 1 Final Exam Practice (Easy)

Front

Write a linear function f with the values f(0) = 6 and f(4) = -6. What is the function?

Back

y = -3x + 6

Front

Given f(x) = x^3 - 3x^2 - 4x, find the zeros of f(x).

Back

{-1, 0, 4}

Front

If the Discriminant is less than 0, how many roots does the equation have?

Back

0

Front

For the function f(x) = -3x^4 + x^3 - 2x^2 + x - 1, what is the y-intercept?

Back

(0, -1)

Front

Factor the expression 8x^3 - 1.

Back

(2x - 1)(4x^2 + 2x + 1)

Front

What is a linear function?

Back

A function that graphs to a straight line, defined by the equation f(x) = mx + b, where m is the slope and b is the y-intercept.

Front

What is the Discriminant in a quadratic equation?

Back

The Discriminant is given by b^2 - 4ac and determines the nature of the roots of the equation ax^2 + bx + c = 0.

Front

How do you find the y-intercept of a function?

Back

Set x = 0 in the function and solve for f(0).

Front

What does it mean for a function to have zeros?

Back

Zeros of a function are the values of x for which f(x) = 0.

Front

What is the significance of the y-intercept in a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, indicating the value of the function when x = 0.