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If f(x)=3x+2, what is f(4)?
14
What is the domain of the function f(x)=2x+5?
All real numbers
If the discriminant of a quadratic equation is negative, how many real roots does the equation have?
0
It refers to the set of all values for variable x.
domain
What is the primary purpose of the vertical line test?
To determine if a relation is a function.
If g(x)=x2 - 5, what is g(3)?
4
A ____________relates an input to an output.
function
If h(x)=2x−7, what is the value of h(5)?
3
If a vertical line intersects a graph at more than one point, what can we conclude?
The graph does not represent a function.
For the quadratic function y = -x² + 4x – 3, what is the y-intercept?
-3
In the function f(x)= 1/x, which value is not in the domain?
0
For the function f(x) = 2x + 3, what is the domain of
f-1(x)?
All real numbers.
The vertical line test is used to:
Check if a graph represents a function
The function that is applied first in the composition (f∘g)(x).
g(x)
What is the shape of the graph of a quadratic function?
Parabolic graph
True or False: The domain of a linear function is always all real numbers.
True
In the function f(x)=1/x-3, what value is excluded from the domain?
3
It refers to the set of all values for variable y.
range
Given f(x)=3x−5 and g(x)=x2, what is (g∘f)(x)?
(3x - 5)2
True or False: A function that passes the vertical line test may still fail the horizontal line test.
True
The graph of y=x2 passes the vertical line test but fails the _____.
Horizontal Line Test
What is the completed square form of x2 + 2x + 1?
(x+1)2
If the quadratic equation x² - 6x + 9 = 0 is solved, what are the roots?
x = 3
This test is used to determine if a function is one-to-one.
Horizontal Line Test
If a quadratic equation has roots x = 2 and x = -3, what is the quadratic equation that can be formed?
x2 + x - 6 = 0
hen graphing f(x) = │x - 3│, what is the vertex of the V-shaped graph?
(3,0)
For a relation to be a function, each x-value must have:
Exactly one y-value
What is the graph of an inverse function?
It is the mirror image of the original graph.
f function f(x) has domain [2, 5], what is the range of its inverse function f-1 (x)?
[2, 5]
The horizontal line test is used to determine:
If a function is one-to-one