Find the General Form of the equation of the line that passes through the given point.
Point Slope
(0,-2) m=3
What is 3x-y-2=0
100
Use a graphing utility to graph the function and estimate its domain and range.
f(x)=2x^2+3
What is Domain (-∞,∞) Range [3,∞)
100
Find (f+g)(x) and (f-g)(x)
f(x)=x+3, g(x)=x-3
What is 2x ,6
100
Identify the vertex and x-intercept. Use a graphing utility to verify your results.
f(x)=1/2x^2-4
What is vertex(0,25) x-intercept(⩲2√2,0)
100
graph the exponential function. Identify whether the graph of the function is increasing or decreasing.
g(x)=5^x
What is y=0 (0,1), increasing
200
Find the General Form of the equation of the line that passes through the given point.
Point Slope
(2,-3) m=-1/2
What is x+2y+4=0
200
Use a graphing utility to graph the function and estimate its domain and range.
f(x)=√x-1
What is Domain [1, ∞) Range [0,∞)
200
Find (f+g)(x) and (f-g)(x)
f(x)=x^2+5, g(x)=√1-x
What is x^2+5+√1-x, x^2+5-√1-x
200
Identify the vertex and x-intercept. Use a graphing utility to verify your results.
h(x)=x^2-8x+16
What is vertex(4,0) x-intercept(4,0)
200
graph the exponential function. Identify whether the graph of the function is increasing or decreasing.
g(x)=5^-x-3
What is y=-3 (0,-2), decreasing
300
Find the Slope-Intercept of the equation of the line that passes through the given points.
Points
(5,-1), (-5,5)
What is y=-3/5x+2
300
Use a graphing utility to graph the function and estimate its domain and range.
f(x)=|x+3|
What is Domain:(-∞,∞) Range: [0,∞)
300
Find f∘g
f(x)=3x+5, g(x)=5-x
What is (x-1)^2
300
Use a graphing utility to graph the quadratic function. Identify the vertex and x-intercept.
f(x)=-(x^2+x-30)
What is vertex(-1,4) x-intercept(1,0),(-3,0)
300
use the graph of "f" to describe the transformation that yields the graph of "g"
f(x)=3^x, g(x)=5-2^x
What is shift right 5 units
400
Find the Slope-Intercept of the equation of the line that passes through the given point.
Points
(-1/10,-3/5), (9/10,-9/5)
What is y=-6/5x-18/25
400
Use a graphing utility to graph the function and determine the open intervals on which the function is increasing, decreasing, or constant.
f(x)=3
What is Constant: (-∞,∞)
400
Determine the domain of "f" and "g"
f(x)=x^2+1, g(x)= √x
What is All real numbers x, All real numbers x such that x⩾0
400
write the standard form of the quadratic function that has the indicated vertex and whose graph passes through the given point.
Vertex(-2,5) Point(0,9)
What is f(x)=(x+2)^2+5
400
Use a calculator to evaluate the function at the indicated value "x"
f(x)=e^x x=9.2
What is 9897.129
500
Determine whether the lines L1 and L2 passing through the pairs of points are parallel, perpendicular, or neither.
L1:(0,-1),(5,9)
L2:(0,3),(4,1)
What is Perpendicular
500
Use a graphing utility to approximate any relative minimum or relative maximum values of the function.
f(x)=x^2-6x
What is relative minimum:(3,-9)
500
Determine the domain of "f" and "g"
f(x)=|x-4|, g(x)=3-x
What is all real numbers x, all real numbers x
500
write the standard form of the quadratic function that has the indicated vertex and whose graph passes through the given point.
Vertex(1/2,1) Point(-2,-21/5)
What is y=-104/125(x-1/2)^2+1
500
Use a calculator to evaluate the function at the indicated value "x"
f(x)=50e^4x x=0.02