Mac 1105 - Study guides, Class notes & Summaries

MAC 1105 MATH GYM FALL 2020 Week 5 1. Given the table of values, find the outputs of the given compositions for the given inputs. X ‐3 ‐2 ‐1 0 1 2 3 f(x) 11 9 7 5 3 1 ‐1 g(x) 8 ‐3 0 1 0 ‐3 ‐8 f◦g (1) =5 g◦f (3)=7 f◦g (2) =11 f◦f(3)=7 f◦g (‐1) =5 g◦g (

MAC 1105 ch 1 Question and answers already sorted A graded 2023 Half-plane - correct answer either sides of the regions of a plan thats been divided by a straight line Test point - correct answer a point or number line used to determine the side of the solution

R.4 What is FOIL - correct answer First, Outer, Inner, Last R.5 For x^2 +Bx+C = (x+a)(x+b) - correct answer ab=C and a+b=B R.5 Difference of squares - correct answer x² - y² = (x + y)(x - y) R.5 How to factor? - correct answer 1. ab=C 2. a+b=Bx 3. (x+a)(x+b) 4. solve for a and b that will satisfy both equations R.5 How to factor by grouping? - correct answer 1. x^2 + Bx + C 2. x^2 + ax + bx + C 3. (x^2 + ax)+(bx+C) 4. factor and simplify R.5 What a...

I^2 - correct answer -1 even function - correct answer f (x)=f (-x) Odd function - correct answer f (-x)= -f (x) Standard form of a line - correct answer Ax+by=c Vertical shifts Y=f (x)+c Y=f (x)-c - correct answer Goes up by c units Goes down by c units Horizontal shifts Y=f (x+c) Y=f (x-c) - correct answer To the left by c units To the left by c units Reflections Y=-f (x) Y=f (-x) - correct answer Reflects about x axis Reflects abou...

y-axis reflection that affects domain D: (-infinity, 0]; R: [0, infinity); y=sqrt(-x); y-intercepts fixed - correct answer y=f(-x) Multiply x values by 1/#; affects domain - correct answer y=f(#x) Multiply y values by #; affects domain - correct answer y=f(1/#x) Horizontal shift left #; affects domain - correct answer y=f(x+#) Horizontal shift right #; affects domain - correct answer y=f(x-#) x-axis reflection; affects range D: [0, infinity); R: (-in...

The function f(x)=x^2 is decreasing on the interval _____. - correct answer (-∞,0) When functions are defined by more than one equation, they are called _______ functions. - correct answer piecewise-defined The cube function is odd and is increasing on the interval left parenthesis negative infinity comma infinity right parenthesis(−∞,∞). - correct answer True The cube root function is odd and is decreasing on the interval (minus−infinity∞,infinity∞)....

Linear Function: F(x)=mx+b - correct answer - Domain and range are all real numbers -Graph is nonvertical line with slope=m y intercept=b -m and b are real numbers Identity Function: F(x)=x - correct answer -Special type of linear function -Domain and range are all real numbers -Graph is a line with slope of m=1 and y-intercept=0 -The line consists of all points for which the x-coordinate equals the y-coordinate Constant Function: F(x)=b - correct answer - Domain is the...

what does an x-axis reflection look like - correct answer -f(x) y-axis reflection - correct answer f(-x) order for transformations - correct answer horizontal shifting stretching/shrinking reflecting vertical shifting what is even function? - correct answer f(-x)=f(x) even function symmetric to what? - correct answer y-axis odd function? - correct answer f(-x)=-f(x) odd function symmetric to? - correct answer origin graph of x^2 - correc...

Even Function - correct answer f(-x)=f(x) Odd Function - correct answer f(-x) = -f(x) Average Rate of Change - correct answer f(b)-f(a)/b-a Difference Quotient - correct answer f(x+h)-f(x)/h Standard form of Quadratic Function - correct answer a(x-h)^2+k Vertex Formula - correct answer -b/2a, f(-b/2a) Horizontal Asymptotes - correct answer 1. if n<m then, y=0 2. if n=m then, y= co-eficients n/m 3. n>m then DNE Exponential Growth and...

vertical asymptote - correct answer zeros of the denominator holes - correct answer factor that cancels out of the numerator and denominator making the function not defined at that point how to find horizontal or oblique asymptotes - correct answer compare the degrees of the numerator and denominator degree p(x) < degree q(x) - correct answer horizontal asymptote at f(x)=0 degree p(x) = degree q(x) - correct answer p(x)/q(x) is the horizontal asymptote ...