Pre-Calc true & false
If f and g are inverse functions, the domain of f is the same as the range of g
True
If the degree of the numerator of a rational function equals the degree of the denominator, then the ratio of the leading coefficients equals the horizontal asymptote
True
The domain of the inverse cotangent function is the set of real numbers
True
The graph of f(x)=2x^2+3x-4 opens up
True
The graph of y=-f(x) is the reflection about the x-axis of the graph y=f(x)
True
The graphs of y=tan x, y=cotx, y=secx, y=cscx each have infinitely many vertical asymptotes
True
The only even trigonometric functions are the cosine and secant functions
True
The slope of a non-vertical line is the average rate of change of the linear function
True
The x-intercepts of the graph of a function y=f(x) are the real solutions of the equations f(x)=0
True
To find the y-intercepts of the graph of an equation, let x=0 and solve for y
True
sin(-theta)+sin(theta)=0 for any value of theta
True
Most trigonometric equations have unique solutions
False
The range of exponential functions f(x)=a^x, where a>0 and a doesn't =1 is the set of all real numbers
False
The distance between two points is sometimes a negative number
False, because when you square root a number it is positive
Even functions have graphs that are symmetric with respect to the origin
False, even functions have graphs that are symmetric with respect to the y-axis
If y=logax then y=a^x
False, if y=logax then a=xy
cos(pie/2-theta)=cos theta
False, it equals sine theta
The cube root function is odd and decreasing on the interval (-infinity,infinity)
False, it is increasing on the interval
The graph of a rational function may intersect a vertical asymptote
False, it may intersect a horizontal asymptote
sec=1/sine
False, sec=1/cos
For y=2sin(3.14x), the amplitude is 2 and period is 3.14/2
False, the amplitude is 2 and the period is 2
The center of the circle (x+3)^2 + (y-2)^2 = (3,-2)
False, the center would be (-3,2)
The graph of f(x)=x/x-3 is above the x-axis for x<0 or x>3, so the solution set of the inequality x/x-3>0 is {x|x<0 or x>3}
False, the solution set would be {x|x>0 or x<3}
Perpendicular lines have slopes that are reciprocals of one another
False, they have opposite signs and their values are reciprocals
The law of sines can be used to solve triangles where three sides are known
False, you need to know two sides and one angle
The domain of the composite function (f*g)(x) is the same as the domain of g(x)
Fasle, the domain of the composite function (f*g)(x) is the same as the domain (g*f)(x)