Graphing Exponential Functions
An exponential graph increasing from left to right means it is showing...
What is: Growth?
What is the point of elimination, substitution, and graphing? What are we trying to find?
What is: The point of intersection of two lines/solution?
What is the square root of 484 (show me on your graphing calculator)?
What is: positive or negative 22?
What is: False? Trinomial means 3 terms.
True or false: You can find the square root of a negative number.
What is: False?
An exponential function never actually touches the x-axis; it just gets very very close. This is called it's...
What is: Asymptote?
Name the three methods for solving systems of equations.
What is: Graphing, elimination, and substitution?
What is the quadratic formula? (you CAN'T use you notes!)
What is: -b +/- the square root of b2 - 4ac / 2a?
Fill in the blank(s): When writing polynomials, you put the exponents in order from ____________ to _____________.
What is: Largest to smallest?
True or False: You need to distribute the MINUS sign when subtracting in combining like terms.
What is: True?
What is the y-value when x is -8 in the exponential function of y = 0.75x ?
What is: 10? (-8,10)
Solve the following system of equations by graphing for the point of intersection/solution.
y = 2x
y = x + 1
What is: (1, 2)?
Solve the following equation using the quadratic formula:
x2 - 5x - 24 = 0
What is: x = -3 and x = 8?
Combine like terms in the polynomials expression below.
-7x3 + 4x2 + 2x - 7 + -6x3 + 2x2 -2x + 3
What is: -13x3 + 6x2 - 4?
True or False: Some systems of equations have an infinite amount of solutions (meaning, two lines can intersect more than once).
What is: True?
Complete a table of values with x-values of -2, -1, -, 1, 2, and 3 for the function y = 3x (draw picture).
What is: Y-values are 0.11, 0.33, 1, 3, 9, 27?
Solve for the following solution/point of intersection through any of the three methods.
4x + 8y = 20
−4x + 2y = −30
9x2 - 3 = 3x2 - 7x
What is: x = -5, x = -1/2?
Combine like terms in the polynomials expression below.
-2x2y + 5xy2 - 4x2y + 2x2y - xy2
What is: 4xy2 - 4x2y ?
What is: 0?
Graph the following exponential function: y = 3 * 2x. (draw picture/table of values for set up).
What is: (depends on picture); Table of values include (-2, 0.75), (-1, 1.5), (0, 3), (1, 6), (2, 12), (3, 24).
Solve the following system of equations for the solution through any of the three methods.
5x + 4y = −30
3x − 9y = −18
What is: (-6, 0)?
Solve the following quadratic function using the formula.
5r2 = 80
What is: x = -4, and x = 4?
Combine like terms in the polynomials expression below.
3(4a + 6b) + 10(8a - 2b)
What is: 92a - 2b?
Complete a table of functions for the exponential function y = 5 * (2/5)x.
*Use the x-values of -2, -1, 0, 1, 2, and 3.*
What is: (-2, 31.25), (-1, 12.5), (0, 5), (1, 2), (2, 0.8), and (3, 0.32)?