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Day 5 Intro to Gr. 11 Functions Summary Flashcards | StudBud
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Day 5 Intro to Gr. 11 Functions Summary
Day 5 Intro to Gr. 11 Functions Summary
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Answers
1
State the equation of symmetry for the following parabola: y = (x + 5)
2
+ 1
-5
x = 5
x = -5
x = 1
2
What is the asymptote of y = 2(3
x
) - 5
y = -5
y = 5
x = 0
y = 2
3
Solve for the missing side length ๐ using trigonometry.
9.81
5.32
18
10.7
4
Find the equation of a parabola with a vertex at (0.5, 7.5) and contains the point (0, 10.5)
y = -12(x + 0.5)2 + 7.5
y = 8(x + 0.5)2 + 7.5
y = 12(x - 0.5)2 + 7.5
y = 11(x - 0.5)2 - 7.5
5
The period of a sinusoidal function is 360
o
True
False
6
What makes something a function (and not just a relation)?
Every y value has one x value
One-to-one relation
Every x value has multiple y values
Every x value has one y value
7
How do you convert a quadratic equation in standard form to
vertex form
?
Factor
Isolate for x
F. O. I. L.
Complete the square
8
What is the y-intercept of the function f(x) = -(7
2.5x
) - 4.2
2.5
7
-5.2
-4.2
9
What is the domain of the function f(x) = 3
x
(pictured below)
{ x โ R }
{ x โ R | x โ 0 }
{ y โ R }
{ y โ R | y > 0 }
10
Simplify the following expression pictured below:
(x2 + 13x + 9) / (x2 - 49) (x - 7)
-31 / (x2 - 49)
(x2 + 24x + 39) / (x2 - 49)
(x2 + 11x - 1) / (x2 - 49)
11
How much did you enjoy the Intro to Gr. 11 Functions course?
I enjoyed it so much I can't express it
A LOTTTTTTTTT I LOVED IT
I learned a lot! It was super helpful
It was the best
12
We can use the horizontal line test on a graph to test, visually, if something is a function.
False
True
13
Find the point of intersection(s) between
y = -6
and
y = x
2
+ 2x - 30
(4, -6) and (-6, 5)
(4, -6) and (-6, -6)
(4, 0) and (-6, 0)
(-4, 12) and (6, 8)
14
Cosine is the ratio of the opposite / hypotenuse side lengths of a right angle triangle.
True
False
15
Select the quadratic equation in factored form.
y = 9x + 3
y = 5(x - 3)(x + 2)
y = x2 - 16
y = 5(x - 1)2 - 6
16
x
0
always
equals zero.
True
False
17
What is the range of the following function: f(x) = cos(x)
{ y โ R | y > 0 }
{ y โ R | -1 โค y โค 1 }
{ x โ R | y > 0 }
{ y โ R | -1 โค y โค 0 }
18
An
asymptote
is a value a function will approach but will never reach.
True
False
19
State the roots for the following quadratic equation: 6x
2
- 3x
(-0.5, 0) and (0, 0)
(-1, 0) and (0, 0)
(0.5, 0) and (0, 0)
(-3, 0) and (1, 0)
20
What is the y-intercept of the equation y = 2(x - 3)
2
- 4
-3
11
14
-4
21
What is the equation of symmetry for a parabola with the equation: x
2
- 6
x = 0
y = -6
x = -6
x = 1
